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Finding the Fourth Proportional to 10,839.64, 14,959.38 and 6,593.72

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Solution

The fourth proportional to 10,839.64, 14,959.38 and 6,593.72 is: 9,099.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,839.64 : 14,959.38 = 6,593.72 : x
  2. Step 2: Convert to fraction form
    10,839.64/14,959.38 = 6,593.72/x
  3. Step 3: Cross multiply
    10,839.64x = 14,959.38 × 6,593.72
  4. Step 4: Simplify right side
    10,839.64x = 98,637,963.09
  5. Step 5: Solve for x
    x = 98,637,963.09/10,839.64
  6. Step 6: Final answer
    x = 9,099.75

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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.