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Finding the Fourth Proportional to 8,572.96, 12,852.15 and 8,164.72

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Solution

The fourth proportional to 8,572.96, 12,852.15 and 8,164.72 is: 12,240.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,572.96 : 12,852.15 = 8,164.72 : x
  2. Step 2: Convert to fraction form
    8,572.96/12,852.15 = 8,164.72/x
  3. Step 3: Cross multiply
    8,572.96x = 12,852.15 × 8,164.72
  4. Step 4: Simplify right side
    8,572.96x = 104,934,206.15
  5. Step 5: Solve for x
    x = 104,934,206.15/8,572.96
  6. Step 6: Final answer
    x = 12,240.14

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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.