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Finding the Fourth Proportional to 8,562.40, 12,856.80 and 4,674.40

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Solution

The fourth proportional to 8,562.40, 12,856.80 and 4,674.40 is: 7,018.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562.40 : 12,856.80 = 4,674.40 : x
  2. Step 2: Convert to fraction form
    8,562.40/12,856.80 = 4,674.40/x
  3. Step 3: Cross multiply
    8,562.40x = 12,856.80 × 4,674.40
  4. Step 4: Simplify right side
    8,562.40x = 60,097,825.92
  5. Step 5: Solve for x
    x = 60,097,825.92/8,562.40
  6. Step 6: Final answer
    x = 7,018.81

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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.