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Finding the Fourth Proportional to 8,140.04, 12,210.87 and 3,758.75

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Solution

The fourth proportional to 8,140.04, 12,210.87 and 3,758.75 is: 5,638.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.04 : 12,210.87 = 3,758.75 : x
  2. Step 2: Convert to fraction form
    8,140.04/12,210.87 = 3,758.75/x
  3. Step 3: Cross multiply
    8,140.04x = 12,210.87 × 3,758.75
  4. Step 4: Simplify right side
    8,140.04x = 45,897,607.61
  5. Step 5: Solve for x
    x = 45,897,607.61/8,140.04
  6. Step 6: Final answer
    x = 5,638.50

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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.