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Finding the Fourth Proportional to 8,358.61, 12,541.16 and 3,430.57

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Solution

The fourth proportional to 8,358.61, 12,541.16 and 3,430.57 is: 5,147.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,358.61 : 12,541.16 = 3,430.57 : x
  2. Step 2: Convert to fraction form
    8,358.61/12,541.16 = 3,430.57/x
  3. Step 3: Cross multiply
    8,358.61x = 12,541.16 × 3,430.57
  4. Step 4: Simplify right side
    8,358.61x = 43,023,327.26
  5. Step 5: Solve for x
    x = 43,023,327.26/8,358.61
  6. Step 6: Final answer
    x = 5,147.19

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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.