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Finding the Fourth Proportional to 10,288.71, 15,433.05 and 4,044.36

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Solution

The fourth proportional to 10,288.71, 15,433.05 and 4,044.36 is: 6,066.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,288.71 : 15,433.05 = 4,044.36 : x
  2. Step 2: Convert to fraction form
    10,288.71/15,433.05 = 4,044.36/x
  3. Step 3: Cross multiply
    10,288.71x = 15,433.05 × 4,044.36
  4. Step 4: Simplify right side
    10,288.71x = 62,416,810.10
  5. Step 5: Solve for x
    x = 62,416,810.10/10,288.71
  6. Step 6: Final answer
    x = 6,066.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.