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Finding the Fourth Proportional to 11,342.42, 15,655.04 and 6,565.65

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Solution

The fourth proportional to 11,342.42, 15,655.04 and 6,565.65 is: 9,062.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,342.42 : 15,655.04 = 6,565.65 : x
  2. Step 2: Convert to fraction form
    11,342.42/15,655.04 = 6,565.65/x
  3. Step 3: Cross multiply
    11,342.42x = 15,655.04 × 6,565.65
  4. Step 4: Simplify right side
    11,342.42x = 102,785,480.55
  5. Step 5: Solve for x
    x = 102,785,480.55/11,342.42
  6. Step 6: Final answer
    x = 9,062.05

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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.