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Finding the Fourth Proportional to 11,244.40, 15,518.61 and 6,770.38

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Solution

The fourth proportional to 11,244.40, 15,518.61 and 6,770.38 is: 9,343.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,244.40 : 15,518.61 = 6,770.38 : x
  2. Step 2: Convert to fraction form
    11,244.40/15,518.61 = 6,770.38/x
  3. Step 3: Cross multiply
    11,244.40x = 15,518.61 × 6,770.38
  4. Step 4: Simplify right side
    11,244.40x = 105,066,886.77
  5. Step 5: Solve for x
    x = 105,066,886.77/11,244.40
  6. Step 6: Final answer
    x = 9,343.93

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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.