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Finding the Fourth Proportional to 8,337.40, 12,507.86 and 3,143.32

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Solution

The fourth proportional to 8,337.40, 12,507.86 and 3,143.32 is: 4,715.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,337.40 : 12,507.86 = 3,143.32 : x
  2. Step 2: Convert to fraction form
    8,337.40/12,507.86 = 3,143.32/x
  3. Step 3: Cross multiply
    8,337.40x = 12,507.86 × 3,143.32
  4. Step 4: Simplify right side
    8,337.40x = 39,316,206.50
  5. Step 5: Solve for x
    x = 39,316,206.50/8,337.40
  6. Step 6: Final answer
    x = 4,715.64

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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.