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Finding the Fourth Proportional to 7,656.24, 10,565.64 and 4,344.24

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Solution

The fourth proportional to 7,656.24, 10,565.64 and 4,344.24 is: 5,995.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.24 : 10,565.64 = 4,344.24 : x
  2. Step 2: Convert to fraction form
    7,656.24/10,565.64 = 4,344.24/x
  3. Step 3: Cross multiply
    7,656.24x = 10,565.64 × 4,344.24
  4. Step 4: Simplify right side
    7,656.24x = 45,899,675.91
  5. Step 5: Solve for x
    x = 45,899,675.91/7,656.24
  6. Step 6: Final answer
    x = 5,995.07

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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.