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Finding the Fourth Proportional to 10,726.30, 14,802.31 and 6,534.55

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Solution

The fourth proportional to 10,726.30, 14,802.31 and 6,534.55 is: 9,017.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.30 : 14,802.31 = 6,534.55 : x
  2. Step 2: Convert to fraction form
    10,726.30/14,802.31 = 6,534.55/x
  3. Step 3: Cross multiply
    10,726.30x = 14,802.31 × 6,534.55
  4. Step 4: Simplify right side
    10,726.30x = 96,726,434.81
  5. Step 5: Solve for x
    x = 96,726,434.81/10,726.30
  6. Step 6: Final answer
    x = 9,017.69

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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.