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Finding the Fourth Proportional to 10,038.38, 15,038.13 and 4,847.90

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Solution

The fourth proportional to 10,038.38, 15,038.13 and 4,847.90 is: 7,262.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.38 : 15,038.13 = 4,847.90 : x
  2. Step 2: Convert to fraction form
    10,038.38/15,038.13 = 4,847.90/x
  3. Step 3: Cross multiply
    10,038.38x = 15,038.13 × 4,847.90
  4. Step 4: Simplify right side
    10,038.38x = 72,903,350.43
  5. Step 5: Solve for x
    x = 72,903,350.43/10,038.38
  6. Step 6: Final answer
    x = 7,262.46

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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.