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Finding the Fourth Proportional to 12,475.76, 17,216.10 and 7,437.38

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Solution

The fourth proportional to 12,475.76, 17,216.10 and 7,437.38 is: 10,263.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,475.76 : 17,216.10 = 7,437.38 : x
  2. Step 2: Convert to fraction form
    12,475.76/17,216.10 = 7,437.38/x
  3. Step 3: Cross multiply
    12,475.76x = 17,216.10 × 7,437.38
  4. Step 4: Simplify right side
    12,475.76x = 128,042,720.86
  5. Step 5: Solve for x
    x = 128,042,720.86/12,475.76
  6. Step 6: Final answer
    x = 10,263.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.