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Finding the Fourth Proportional to 11,141.70, 15,381.18 and 8,618.10

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Solution

The fourth proportional to 11,141.70, 15,381.18 and 8,618.10 is: 11,897.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,141.70 : 15,381.18 = 8,618.10 : x
  2. Step 2: Convert to fraction form
    11,141.70/15,381.18 = 8,618.10/x
  3. Step 3: Cross multiply
    11,141.70x = 15,381.18 × 8,618.10
  4. Step 4: Simplify right side
    11,141.70x = 132,556,547.36
  5. Step 5: Solve for x
    x = 132,556,547.36/11,141.70
  6. Step 6: Final answer
    x = 11,897.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.