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Finding the Fourth Proportional to 10,666.40, 15,967.20 and 6,270.80

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Solution

The fourth proportional to 10,666.40, 15,967.20 and 6,270.80 is: 9,387.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.40 : 15,967.20 = 6,270.80 : x
  2. Step 2: Convert to fraction form
    10,666.40/15,967.20 = 6,270.80/x
  3. Step 3: Cross multiply
    10,666.40x = 15,967.20 × 6,270.80
  4. Step 4: Simplify right side
    10,666.40x = 100,127,117.76
  5. Step 5: Solve for x
    x = 100,127,117.76/10,666.40
  6. Step 6: Final answer
    x = 9,387.15

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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.