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Finding the Fourth Proportional to 10,114.52, 13,957.47 and 7,726.14

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Solution

The fourth proportional to 10,114.52, 13,957.47 and 7,726.14 is: 10,661.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,114.52 : 13,957.47 = 7,726.14 : x
  2. Step 2: Convert to fraction form
    10,114.52/13,957.47 = 7,726.14/x
  3. Step 3: Cross multiply
    10,114.52x = 13,957.47 × 7,726.14
  4. Step 4: Simplify right side
    10,114.52x = 107,837,367.27
  5. Step 5: Solve for x
    x = 107,837,367.27/10,114.52
  6. Step 6: Final answer
    x = 10,661.64

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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.