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Finding the Fourth Proportional to 11,171.46, 15,409.53 and 6,862.67

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Solution

The fourth proportional to 11,171.46, 15,409.53 and 6,862.67 is: 9,466.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,171.46 : 15,409.53 = 6,862.67 : x
  2. Step 2: Convert to fraction form
    11,171.46/15,409.53 = 6,862.67/x
  3. Step 3: Cross multiply
    11,171.46x = 15,409.53 × 6,862.67
  4. Step 4: Simplify right side
    11,171.46x = 105,750,442.20
  5. Step 5: Solve for x
    x = 105,750,442.20/11,171.46
  6. Step 6: Final answer
    x = 9,466.13

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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.