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Finding the Fourth Proportional to 11,209.42, 15,465.29 and 7,233.17

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Solution

The fourth proportional to 11,209.42, 15,465.29 and 7,233.17 is: 9,979.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,209.42 : 15,465.29 = 7,233.17 : x
  2. Step 2: Convert to fraction form
    11,209.42/15,465.29 = 7,233.17/x
  3. Step 3: Cross multiply
    11,209.42x = 15,465.29 × 7,233.17
  4. Step 4: Simplify right side
    11,209.42x = 111,863,071.67
  5. Step 5: Solve for x
    x = 111,863,071.67/11,209.42
  6. Step 6: Final answer
    x = 9,979.39

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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.