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Finding the Fourth Proportional to 10,710.88, 14,750.40 and 10,044.16

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Solution

The fourth proportional to 10,710.88, 14,750.40 and 10,044.16 is: 13,832.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710.88 : 14,750.40 = 10,044.16 : x
  2. Step 2: Convert to fraction form
    10,710.88/14,750.40 = 10,044.16/x
  3. Step 3: Cross multiply
    10,710.88x = 14,750.40 × 10,044.16
  4. Step 4: Simplify right side
    10,710.88x = 148,155,377.66
  5. Step 5: Solve for x
    x = 148,155,377.66/10,710.88
  6. Step 6: Final answer
    x = 13,832.23

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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.