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Finding the Fourth Proportional to 10,873.24, 15,005.10 and 6,397.16

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Solution

The fourth proportional to 10,873.24, 15,005.10 and 6,397.16 is: 8,828.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,873.24 : 15,005.10 = 6,397.16 : x
  2. Step 2: Convert to fraction form
    10,873.24/15,005.10 = 6,397.16/x
  3. Step 3: Cross multiply
    10,873.24x = 15,005.10 × 6,397.16
  4. Step 4: Simplify right side
    10,873.24x = 95,990,025.52
  5. Step 5: Solve for x
    x = 95,990,025.52/10,873.24
  6. Step 6: Final answer
    x = 8,828.10

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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.