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Finding the Fourth Proportional to 10,038.46, 15,046.41 and 4,769.15

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Solution

The fourth proportional to 10,038.46, 15,046.41 and 4,769.15 is: 7,148.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.46 : 15,046.41 = 4,769.15 : x
  2. Step 2: Convert to fraction form
    10,038.46/15,046.41 = 4,769.15/x
  3. Step 3: Cross multiply
    10,038.46x = 15,046.41 × 4,769.15
  4. Step 4: Simplify right side
    10,038.46x = 71,758,586.25
  5. Step 5: Solve for x
    x = 71,758,586.25/10,038.46
  6. Step 6: Final answer
    x = 7,148.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.