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Finding the Fourth Proportional to 11,308.40, 15,605.32 and 6,592.38

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Solution

The fourth proportional to 11,308.40, 15,605.32 and 6,592.38 is: 9,097.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,308.40 : 15,605.32 = 6,592.38 : x
  2. Step 2: Convert to fraction form
    11,308.40/15,605.32 = 6,592.38/x
  3. Step 3: Cross multiply
    11,308.40x = 15,605.32 × 6,592.38
  4. Step 4: Simplify right side
    11,308.40x = 102,876,199.46
  5. Step 5: Solve for x
    x = 102,876,199.46/11,308.40
  6. Step 6: Final answer
    x = 9,097.33

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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.