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Finding the Fourth Proportional to 10,306.16, 14,224.20 and 6,117.20

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Solution

The fourth proportional to 10,306.16, 14,224.20 and 6,117.20 is: 8,442.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,306.16 : 14,224.20 = 6,117.20 : x
  2. Step 2: Convert to fraction form
    10,306.16/14,224.20 = 6,117.20/x
  3. Step 3: Cross multiply
    10,306.16x = 14,224.20 × 6,117.20
  4. Step 4: Simplify right side
    10,306.16x = 87,012,276.24
  5. Step 5: Solve for x
    x = 87,012,276.24/10,306.16
  6. Step 6: Final answer
    x = 8,442.74

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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.