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Finding the Fourth Proportional to 10,627.16, 14,672.04 and 6,851.66

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Solution

The fourth proportional to 10,627.16, 14,672.04 and 6,851.66 is: 9,459.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,627.16 : 14,672.04 = 6,851.66 : x
  2. Step 2: Convert to fraction form
    10,627.16/14,672.04 = 6,851.66/x
  3. Step 3: Cross multiply
    10,627.16x = 14,672.04 × 6,851.66
  4. Step 4: Simplify right side
    10,627.16x = 100,527,829.59
  5. Step 5: Solve for x
    x = 100,527,829.59/10,627.16
  6. Step 6: Final answer
    x = 9,459.52

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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.