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Finding the Fourth Proportional to 7,753.71, 10,700.16 and 4,216.93

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Solution

The fourth proportional to 7,753.71, 10,700.16 and 4,216.93 is: 5,819.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,753.71 : 10,700.16 = 4,216.93 : x
  2. Step 2: Convert to fraction form
    7,753.71/10,700.16 = 4,216.93/x
  3. Step 3: Cross multiply
    7,753.71x = 10,700.16 × 4,216.93
  4. Step 4: Simplify right side
    7,753.71x = 45,121,783.14
  5. Step 5: Solve for x
    x = 45,121,783.14/7,753.71
  6. Step 6: Final answer
    x = 5,819.38

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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.