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Finding the Fourth Proportional to 7,291.64, 10,091.34 and 7,116.92

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Solution

The fourth proportional to 7,291.64, 10,091.34 and 7,116.92 is: 9,849.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,291.64 : 10,091.34 = 7,116.92 : x
  2. Step 2: Convert to fraction form
    7,291.64/10,091.34 = 7,116.92/x
  3. Step 3: Cross multiply
    7,291.64x = 10,091.34 × 7,116.92
  4. Step 4: Simplify right side
    7,291.64x = 71,819,259.47
  5. Step 5: Solve for x
    x = 71,819,259.47/7,291.64
  6. Step 6: Final answer
    x = 9,849.53

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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.