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Finding the Fourth Proportional to 7,565.91, 11,275.57 and 7,172.25

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Solution

The fourth proportional to 7,565.91, 11,275.57 and 7,172.25 is: 10,688.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.91 : 11,275.57 = 7,172.25 : x
  2. Step 2: Convert to fraction form
    7,565.91/11,275.57 = 7,172.25/x
  3. Step 3: Cross multiply
    7,565.91x = 11,275.57 × 7,172.25
  4. Step 4: Simplify right side
    7,565.91x = 80,871,173.61
  5. Step 5: Solve for x
    x = 80,871,173.61/7,565.91
  6. Step 6: Final answer
    x = 10,688.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.