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Finding the Fourth Proportional to 10,568.28, 14,593.91 and 6,798

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Solution

The fourth proportional to 10,568.28, 14,593.91 and 6,798 is: 9,387.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,568.28 : 14,593.91 = 6,798 : x
  2. Step 2: Convert to fraction form
    10,568.28/14,593.91 = 6,798/x
  3. Step 3: Cross multiply
    10,568.28x = 14,593.91 × 6,798
  4. Step 4: Simplify right side
    10,568.28x = 99,209,366.19
  5. Step 5: Solve for x
    x = 99,209,366.19/10,568.28
  6. Step 6: Final answer
    x = 9,387.47

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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.