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Finding the Fourth Proportional to 10,038.85, 15,046.31 and 4,115.50

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Solution

The fourth proportional to 10,038.85, 15,046.31 and 4,115.50 is: 6,168.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.85 : 15,046.31 = 4,115.50 : x
  2. Step 2: Convert to fraction form
    10,038.85/15,046.31 = 4,115.50/x
  3. Step 3: Cross multiply
    10,038.85x = 15,046.31 × 4,115.50
  4. Step 4: Simplify right side
    10,038.85x = 61,923,088.81
  5. Step 5: Solve for x
    x = 61,923,088.81/10,038.85
  6. Step 6: Final answer
    x = 6,168.34

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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.