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Finding the Fourth Proportional to 11,098.46, 15,314.49 and 6,319.04

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Solution

The fourth proportional to 11,098.46, 15,314.49 and 6,319.04 is: 8,719.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,098.46 : 15,314.49 = 6,319.04 : x
  2. Step 2: Convert to fraction form
    11,098.46/15,314.49 = 6,319.04/x
  3. Step 3: Cross multiply
    11,098.46x = 15,314.49 × 6,319.04
  4. Step 4: Simplify right side
    11,098.46x = 96,772,798.32
  5. Step 5: Solve for x
    x = 96,772,798.32/11,098.46
  6. Step 6: Final answer
    x = 8,719.48

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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.