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Finding the Fourth Proportional to 11,346.68, 15,660.34 and 6,565.93

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Solution

The fourth proportional to 11,346.68, 15,660.34 and 6,565.93 is: 9,062.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,346.68 : 15,660.34 = 6,565.93 : x
  2. Step 2: Convert to fraction form
    11,346.68/15,660.34 = 6,565.93/x
  3. Step 3: Cross multiply
    11,346.68x = 15,660.34 × 6,565.93
  4. Step 4: Simplify right side
    11,346.68x = 102,824,640.65
  5. Step 5: Solve for x
    x = 102,824,640.65/11,346.68
  6. Step 6: Final answer
    x = 9,062.09

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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.