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Finding the Fourth Proportional to 10,693.88, 14,756.34 and 5,977.32

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Solution

The fourth proportional to 10,693.88, 14,756.34 and 5,977.32 is: 8,248.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.88 : 14,756.34 = 5,977.32 : x
  2. Step 2: Convert to fraction form
    10,693.88/14,756.34 = 5,977.32/x
  3. Step 3: Cross multiply
    10,693.88x = 14,756.34 × 5,977.32
  4. Step 4: Simplify right side
    10,693.88x = 88,203,366.21
  5. Step 5: Solve for x
    x = 88,203,366.21/10,693.88
  6. Step 6: Final answer
    x = 8,248.02

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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.