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Finding the Fourth Proportional to 10,332.60, 14,258.82 and 5,617

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Solution

The fourth proportional to 10,332.60, 14,258.82 and 5,617 is: 7,751.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,332.60 : 14,258.82 = 5,617 : x
  2. Step 2: Convert to fraction form
    10,332.60/14,258.82 = 5,617/x
  3. Step 3: Cross multiply
    10,332.60x = 14,258.82 × 5,617
  4. Step 4: Simplify right side
    10,332.60x = 80,091,791.94
  5. Step 5: Solve for x
    x = 80,091,791.94/10,332.60
  6. Step 6: Final answer
    x = 7,751.37

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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.