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Finding the Fourth Proportional to 11,565.92, 15,960.60 and 6,530.10

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Solution

The fourth proportional to 11,565.92, 15,960.60 and 6,530.10 is: 9,011.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.92 : 15,960.60 = 6,530.10 : x
  2. Step 2: Convert to fraction form
    11,565.92/15,960.60 = 6,530.10/x
  3. Step 3: Cross multiply
    11,565.92x = 15,960.60 × 6,530.10
  4. Step 4: Simplify right side
    11,565.92x = 104,224,314.06
  5. Step 5: Solve for x
    x = 104,224,314.06/11,565.92
  6. Step 6: Final answer
    x = 9,011.33

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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.