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Finding the Fourth Proportional to 10,256, 14,150.04 and 6,275.12

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Solution

The fourth proportional to 10,256, 14,150.04 and 6,275.12 is: 8,657.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256 : 14,150.04 = 6,275.12 : x
  2. Step 2: Convert to fraction form
    10,256/14,150.04 = 6,275.12/x
  3. Step 3: Cross multiply
    10,256x = 14,150.04 × 6,275.12
  4. Step 4: Simplify right side
    10,256x = 88,793,199.00
  5. Step 5: Solve for x
    x = 88,793,199.00/10,256
  6. Step 6: Final answer
    x = 8,657.68

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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.