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Finding the Fourth Proportional to 7,565.74, 11,354.51 and 5,242.05

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Solution

The fourth proportional to 7,565.74, 11,354.51 and 5,242.05 is: 7,867.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.74 : 11,354.51 = 5,242.05 : x
  2. Step 2: Convert to fraction form
    7,565.74/11,354.51 = 5,242.05/x
  3. Step 3: Cross multiply
    7,565.74x = 11,354.51 × 5,242.05
  4. Step 4: Simplify right side
    7,565.74x = 59,520,922.25
  5. Step 5: Solve for x
    x = 59,520,922.25/7,565.74
  6. Step 6: Final answer
    x = 7,867.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.