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Finding the Fourth Proportional to 10,358.92, 15,616.47 and 9,690.76

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Solution

The fourth proportional to 10,358.92, 15,616.47 and 9,690.76 is: 14,609.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.92 : 15,616.47 = 9,690.76 : x
  2. Step 2: Convert to fraction form
    10,358.92/15,616.47 = 9,690.76/x
  3. Step 3: Cross multiply
    10,358.92x = 15,616.47 × 9,690.76
  4. Step 4: Simplify right side
    10,358.92x = 151,335,462.82
  5. Step 5: Solve for x
    x = 151,335,462.82/10,358.92
  6. Step 6: Final answer
    x = 14,609.19

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.