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Finding the Fourth Proportional to 10,037.85, 15,044.81 and 4,114.50

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Solution

The fourth proportional to 10,037.85, 15,044.81 and 4,114.50 is: 6,166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,037.85 : 15,044.81 = 4,114.50 : x
  2. Step 2: Convert to fraction form
    10,037.85/15,044.81 = 4,114.50/x
  3. Step 3: Cross multiply
    10,037.85x = 15,044.81 × 4,114.50
  4. Step 4: Simplify right side
    10,037.85x = 61,901,870.75
  5. Step 5: Solve for x
    x = 61,901,870.75/10,037.85
  6. Step 6: Final answer
    x = 6,166.85

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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.