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Finding the Fourth Proportional to 10,272.64, 15,407.74 and 2,877.64

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Solution

The fourth proportional to 10,272.64, 15,407.74 and 2,877.64 is: 4,316.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,272.64 : 15,407.74 = 2,877.64 : x
  2. Step 2: Convert to fraction form
    10,272.64/15,407.74 = 2,877.64/x
  3. Step 3: Cross multiply
    10,272.64x = 15,407.74 × 2,877.64
  4. Step 4: Simplify right side
    10,272.64x = 44,337,928.93
  5. Step 5: Solve for x
    x = 44,337,928.93/10,272.64
  6. Step 6: Final answer
    x = 4,316.12

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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.