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Finding the Fourth Proportional to 10,707.57, 16,058.12 and 4,132.53

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Solution

The fourth proportional to 10,707.57, 16,058.12 and 4,132.53 is: 6,197.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.57 : 16,058.12 = 4,132.53 : x
  2. Step 2: Convert to fraction form
    10,707.57/16,058.12 = 4,132.53/x
  3. Step 3: Cross multiply
    10,707.57x = 16,058.12 × 4,132.53
  4. Step 4: Simplify right side
    10,707.57x = 66,360,641.98
  5. Step 5: Solve for x
    x = 66,360,641.98/10,707.57
  6. Step 6: Final answer
    x = 6,197.54

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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.