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Finding the Fourth Proportional to 7,523.16, 10,380.06 and 5,656.92

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Solution

The fourth proportional to 7,523.16, 10,380.06 and 5,656.92 is: 7,805.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,523.16 : 10,380.06 = 5,656.92 : x
  2. Step 2: Convert to fraction form
    7,523.16/10,380.06 = 5,656.92/x
  3. Step 3: Cross multiply
    7,523.16x = 10,380.06 × 5,656.92
  4. Step 4: Simplify right side
    7,523.16x = 58,719,169.02
  5. Step 5: Solve for x
    x = 58,719,169.02/7,523.16
  6. Step 6: Final answer
    x = 7,805.12

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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.