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Finding the Fourth Proportional to 7,874.36, 10,866.20 and 4,337.50

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Solution

The fourth proportional to 7,874.36, 10,866.20 and 4,337.50 is: 5,985.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.36 : 10,866.20 = 4,337.50 : x
  2. Step 2: Convert to fraction form
    7,874.36/10,866.20 = 4,337.50/x
  3. Step 3: Cross multiply
    7,874.36x = 10,866.20 × 4,337.50
  4. Step 4: Simplify right side
    7,874.36x = 47,132,142.50
  5. Step 5: Solve for x
    x = 47,132,142.50/7,874.36
  6. Step 6: Final answer
    x = 5,985.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.