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Finding the Fourth Proportional to 10,167.48, 14,042.07 and 6,989.16

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Solution

The fourth proportional to 10,167.48, 14,042.07 and 6,989.16 is: 9,652.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,167.48 : 14,042.07 = 6,989.16 : x
  2. Step 2: Convert to fraction form
    10,167.48/14,042.07 = 6,989.16/x
  3. Step 3: Cross multiply
    10,167.48x = 14,042.07 × 6,989.16
  4. Step 4: Simplify right side
    10,167.48x = 98,142,273.96
  5. Step 5: Solve for x
    x = 98,142,273.96/10,167.48
  6. Step 6: Final answer
    x = 9,652.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.