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Finding the Fourth Proportional to 10,005.64, 15,011.72 and 3,431.68

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Solution

The fourth proportional to 10,005.64, 15,011.72 and 3,431.68 is: 5,148.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.64 : 15,011.72 = 3,431.68 : x
  2. Step 2: Convert to fraction form
    10,005.64/15,011.72 = 3,431.68/x
  3. Step 3: Cross multiply
    10,005.64x = 15,011.72 × 3,431.68
  4. Step 4: Simplify right side
    10,005.64x = 51,515,419.29
  5. Step 5: Solve for x
    x = 51,515,419.29/10,005.64
  6. Step 6: Final answer
    x = 5,148.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.