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Finding the Fourth Proportional to 10,332.56, 15,464.93 and 7,324.83

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Solution

The fourth proportional to 10,332.56, 15,464.93 and 7,324.83 is: 10,963.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,332.56 : 15,464.93 = 7,324.83 : x
  2. Step 2: Convert to fraction form
    10,332.56/15,464.93 = 7,324.83/x
  3. Step 3: Cross multiply
    10,332.56x = 15,464.93 × 7,324.83
  4. Step 4: Simplify right side
    10,332.56x = 113,277,946.59
  5. Step 5: Solve for x
    x = 113,277,946.59/10,332.56
  6. Step 6: Final answer
    x = 10,963.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.