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Finding the Fourth Proportional to 8,358.53, 12,537.72 and 3,677.40

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Solution

The fourth proportional to 8,358.53, 12,537.72 and 3,677.40 is: 5,516.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,358.53 : 12,537.72 = 3,677.40 : x
  2. Step 2: Convert to fraction form
    8,358.53/12,537.72 = 3,677.40/x
  3. Step 3: Cross multiply
    8,358.53x = 12,537.72 × 3,677.40
  4. Step 4: Simplify right side
    8,358.53x = 46,106,211.53
  5. Step 5: Solve for x
    x = 46,106,211.53/8,358.53
  6. Step 6: Final answer
    x = 5,516.07

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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.