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Finding the Fourth Proportional to 10,217.40, 14,111.88 and 8,180.40

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Solution

The fourth proportional to 10,217.40, 14,111.88 and 8,180.40 is: 11,298.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,217.40 : 14,111.88 = 8,180.40 : x
  2. Step 2: Convert to fraction form
    10,217.40/14,111.88 = 8,180.40/x
  3. Step 3: Cross multiply
    10,217.40x = 14,111.88 × 8,180.40
  4. Step 4: Simplify right side
    10,217.40x = 115,440,823.15
  5. Step 5: Solve for x
    x = 115,440,823.15/10,217.40
  6. Step 6: Final answer
    x = 11,298.45

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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.