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Finding the Fourth Proportional to 8,570.04, 12,856.10 and 2,414.04

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Solution

The fourth proportional to 8,570.04, 12,856.10 and 2,414.04 is: 3,621.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.04 : 12,856.10 = 2,414.04 : x
  2. Step 2: Convert to fraction form
    8,570.04/12,856.10 = 2,414.04/x
  3. Step 3: Cross multiply
    8,570.04x = 12,856.10 × 2,414.04
  4. Step 4: Simplify right side
    8,570.04x = 31,035,139.64
  5. Step 5: Solve for x
    x = 31,035,139.64/8,570.04
  6. Step 6: Final answer
    x = 3,621.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.