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Finding the Fourth Proportional to 8,562.68, 12,838.44 and 5,632.08

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Solution

The fourth proportional to 8,562.68, 12,838.44 and 5,632.08 is: 8,444.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562.68 : 12,838.44 = 5,632.08 : x
  2. Step 2: Convert to fraction form
    8,562.68/12,838.44 = 5,632.08/x
  3. Step 3: Cross multiply
    8,562.68x = 12,838.44 × 5,632.08
  4. Step 4: Simplify right side
    8,562.68x = 72,307,121.16
  5. Step 5: Solve for x
    x = 72,307,121.16/8,562.68
  6. Step 6: Final answer
    x = 8,444.45

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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.