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Finding the Fourth Proportional to 8,320.72, 12,478.64 and 6,856.24

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Solution

The fourth proportional to 8,320.72, 12,478.64 and 6,856.24 is: 10,282.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,320.72 : 12,478.64 = 6,856.24 : x
  2. Step 2: Convert to fraction form
    8,320.72/12,478.64 = 6,856.24/x
  3. Step 3: Cross multiply
    8,320.72x = 12,478.64 × 6,856.24
  4. Step 4: Simplify right side
    8,320.72x = 85,556,550.71
  5. Step 5: Solve for x
    x = 85,556,550.71/8,320.72
  6. Step 6: Final answer
    x = 10,282.35

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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.