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Finding the Fourth Proportional to 10,013.60, 14,998.80 and 6,514.40

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Solution

The fourth proportional to 10,013.60, 14,998.80 and 6,514.40 is: 9,757.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,013.60 : 14,998.80 = 6,514.40 : x
  2. Step 2: Convert to fraction form
    10,013.60/14,998.80 = 6,514.40/x
  3. Step 3: Cross multiply
    10,013.60x = 14,998.80 × 6,514.40
  4. Step 4: Simplify right side
    10,013.60x = 97,708,182.72
  5. Step 5: Solve for x
    x = 97,708,182.72/10,013.60
  6. Step 6: Final answer
    x = 9,757.55

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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.