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Finding the Fourth Proportional to 7,102.28, 10,655.47 and 5,863.89

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Solution

The fourth proportional to 7,102.28, 10,655.47 and 5,863.89 is: 8,797.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.28 : 10,655.47 = 5,863.89 : x
  2. Step 2: Convert to fraction form
    7,102.28/10,655.47 = 5,863.89/x
  3. Step 3: Cross multiply
    7,102.28x = 10,655.47 × 5,863.89
  4. Step 4: Simplify right side
    7,102.28x = 62,482,567.76
  5. Step 5: Solve for x
    x = 62,482,567.76/7,102.28
  6. Step 6: Final answer
    x = 8,797.53

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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.