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Finding the Fourth Proportional to 11,159.62, 15,401.95 and 6,684.47

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Solution

The fourth proportional to 11,159.62, 15,401.95 and 6,684.47 is: 9,225.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,159.62 : 15,401.95 = 6,684.47 : x
  2. Step 2: Convert to fraction form
    11,159.62/15,401.95 = 6,684.47/x
  3. Step 3: Cross multiply
    11,159.62x = 15,401.95 × 6,684.47
  4. Step 4: Simplify right side
    11,159.62x = 102,953,923.39
  5. Step 5: Solve for x
    x = 102,953,923.39/11,159.62
  6. Step 6: Final answer
    x = 9,225.57

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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.