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Finding the Fourth Proportional to 10,254.52, 14,148.62 and 6,274.18

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Solution

The fourth proportional to 10,254.52, 14,148.62 and 6,274.18 is: 8,656.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,254.52 : 14,148.62 = 6,274.18 : x
  2. Step 2: Convert to fraction form
    10,254.52/14,148.62 = 6,274.18/x
  3. Step 3: Cross multiply
    10,254.52x = 14,148.62 × 6,274.18
  4. Step 4: Simplify right side
    10,254.52x = 88,770,988.63
  5. Step 5: Solve for x
    x = 88,770,988.63/10,254.52
  6. Step 6: Final answer
    x = 8,656.77

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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.