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Finding the Fourth Proportional to 10,873.64, 15,005.36 and 6,397.68

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Solution

The fourth proportional to 10,873.64, 15,005.36 and 6,397.68 is: 8,828.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,873.64 : 15,005.36 = 6,397.68 : x
  2. Step 2: Convert to fraction form
    10,873.64/15,005.36 = 6,397.68/x
  3. Step 3: Cross multiply
    10,873.64x = 15,005.36 × 6,397.68
  4. Step 4: Simplify right side
    10,873.64x = 95,999,416.54
  5. Step 5: Solve for x
    x = 95,999,416.54/10,873.64
  6. Step 6: Final answer
    x = 8,828.64

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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.