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Finding the Fourth Proportional to 7,656.22, 10,565.67 and 4,299.13

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Solution

The fourth proportional to 7,656.22, 10,565.67 and 4,299.13 is: 5,932.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.22 : 10,565.67 = 4,299.13 : x
  2. Step 2: Convert to fraction form
    7,656.22/10,565.67 = 4,299.13/x
  3. Step 3: Cross multiply
    7,656.22x = 10,565.67 × 4,299.13
  4. Step 4: Simplify right side
    7,656.22x = 45,423,188.87
  5. Step 5: Solve for x
    x = 45,423,188.87/7,656.22
  6. Step 6: Final answer
    x = 5,932.85

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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.