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Finding the Fourth Proportional to 10,332.29, 14,258.86 and 5,616.88

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Solution

The fourth proportional to 10,332.29, 14,258.86 and 5,616.88 is: 7,751.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,332.29 : 14,258.86 = 5,616.88 : x
  2. Step 2: Convert to fraction form
    10,332.29/14,258.86 = 5,616.88/x
  3. Step 3: Cross multiply
    10,332.29x = 14,258.86 × 5,616.88
  4. Step 4: Simplify right side
    10,332.29x = 80,090,255.87
  5. Step 5: Solve for x
    x = 80,090,255.87/10,332.29
  6. Step 6: Final answer
    x = 7,751.45

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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.