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Finding the Fourth Proportional to 10,854.81, 14,974.88 and 8,332.47

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Solution

The fourth proportional to 10,854.81, 14,974.88 and 8,332.47 is: 11,495.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.81 : 14,974.88 = 8,332.47 : x
  2. Step 2: Convert to fraction form
    10,854.81/14,974.88 = 8,332.47/x
  3. Step 3: Cross multiply
    10,854.81x = 14,974.88 × 8,332.47
  4. Step 4: Simplify right side
    10,854.81x = 124,777,696.69
  5. Step 5: Solve for x
    x = 124,777,696.69/10,854.81
  6. Step 6: Final answer
    x = 11,495.15

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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.