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Finding the Fourth Proportional to 10,077.40, 15,116.10 and 9,348.40

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Solution

The fourth proportional to 10,077.40, 15,116.10 and 9,348.40 is: 14,022.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.40 : 15,116.10 = 9,348.40 : x
  2. Step 2: Convert to fraction form
    10,077.40/15,116.10 = 9,348.40/x
  3. Step 3: Cross multiply
    10,077.40x = 15,116.10 × 9,348.40
  4. Step 4: Simplify right side
    10,077.40x = 141,311,349.24
  5. Step 5: Solve for x
    x = 141,311,349.24/10,077.40
  6. Step 6: Final answer
    x = 14,022.60

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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.