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Finding the Fourth Proportional to 11,298.25, 15,592.14 and 6,821.92

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Solution

The fourth proportional to 11,298.25, 15,592.14 and 6,821.92 is: 9,414.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,298.25 : 15,592.14 = 6,821.92 : x
  2. Step 2: Convert to fraction form
    11,298.25/15,592.14 = 6,821.92/x
  3. Step 3: Cross multiply
    11,298.25x = 15,592.14 × 6,821.92
  4. Step 4: Simplify right side
    11,298.25x = 106,368,331.71
  5. Step 5: Solve for x
    x = 106,368,331.71/11,298.25
  6. Step 6: Final answer
    x = 9,414.58

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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.