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Finding the Fourth Proportional to 10,044.65, 13,854.25 and 7,214.93

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Solution

The fourth proportional to 10,044.65, 13,854.25 and 7,214.93 is: 9,951.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,044.65 : 13,854.25 = 7,214.93 : x
  2. Step 2: Convert to fraction form
    10,044.65/13,854.25 = 7,214.93/x
  3. Step 3: Cross multiply
    10,044.65x = 13,854.25 × 7,214.93
  4. Step 4: Simplify right side
    10,044.65x = 99,957,395.07
  5. Step 5: Solve for x
    x = 99,957,395.07/10,044.65
  6. Step 6: Final answer
    x = 9,951.31

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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.