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Finding the Fourth Proportional to 7,086.92, 9,774.96 and 5,068.40

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Solution

The fourth proportional to 7,086.92, 9,774.96 and 5,068.40 is: 6,990.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.92 : 9,774.96 = 5,068.40 : x
  2. Step 2: Convert to fraction form
    7,086.92/9,774.96 = 5,068.40/x
  3. Step 3: Cross multiply
    7,086.92x = 9,774.96 × 5,068.40
  4. Step 4: Simplify right side
    7,086.92x = 49,543,407.26
  5. Step 5: Solve for x
    x = 49,543,407.26/7,086.92
  6. Step 6: Final answer
    x = 6,990.82

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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.