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Finding the Fourth Proportional to 11,223.90, 15,491.13 and 6,446.66

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Solution

The fourth proportional to 11,223.90, 15,491.13 and 6,446.66 is: 8,897.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,223.90 : 15,491.13 = 6,446.66 : x
  2. Step 2: Convert to fraction form
    11,223.90/15,491.13 = 6,446.66/x
  3. Step 3: Cross multiply
    11,223.90x = 15,491.13 × 6,446.66
  4. Step 4: Simplify right side
    11,223.90x = 99,865,970.67
  5. Step 5: Solve for x
    x = 99,865,970.67/11,223.90
  6. Step 6: Final answer
    x = 8,897.62

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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.