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Finding the Fourth Proportional to 10,038.34, 15,074.58 and 8,370.76

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Solution

The fourth proportional to 10,038.34, 15,074.58 and 8,370.76 is: 12,570.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.34 : 15,074.58 = 8,370.76 : x
  2. Step 2: Convert to fraction form
    10,038.34/15,074.58 = 8,370.76/x
  3. Step 3: Cross multiply
    10,038.34x = 15,074.58 × 8,370.76
  4. Step 4: Simplify right side
    10,038.34x = 126,185,691.28
  5. Step 5: Solve for x
    x = 126,185,691.28/10,038.34
  6. Step 6: Final answer
    x = 12,570.37

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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.