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Finding the Fourth Proportional to 10,385.64, 14,332.14 and 5,669.91

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Solution

The fourth proportional to 10,385.64, 14,332.14 and 5,669.91 is: 7,824.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385.64 : 14,332.14 = 5,669.91 : x
  2. Step 2: Convert to fraction form
    10,385.64/14,332.14 = 5,669.91/x
  3. Step 3: Cross multiply
    10,385.64x = 14,332.14 × 5,669.91
  4. Step 4: Simplify right side
    10,385.64x = 81,261,943.91
  5. Step 5: Solve for x
    x = 81,261,943.91/10,385.64
  6. Step 6: Final answer
    x = 7,824.45

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