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Finding the Fourth Proportional to 11,146.70, 15,385.59 and 6,898.43

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Solution

The fourth proportional to 11,146.70, 15,385.59 and 6,898.43 is: 9,521.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,146.70 : 15,385.59 = 6,898.43 : x
  2. Step 2: Convert to fraction form
    11,146.70/15,385.59 = 6,898.43/x
  3. Step 3: Cross multiply
    11,146.70x = 15,385.59 × 6,898.43
  4. Step 4: Simplify right side
    11,146.70x = 106,136,338.70
  5. Step 5: Solve for x
    x = 106,136,338.70/11,146.70
  6. Step 6: Final answer
    x = 9,521.78

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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.