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Finding the Fourth Proportional to 11,332.85, 15,634.31 and 7,552.34

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Solution

The fourth proportional to 11,332.85, 15,634.31 and 7,552.34 is: 10,418.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,332.85 : 15,634.31 = 7,552.34 : x
  2. Step 2: Convert to fraction form
    11,332.85/15,634.31 = 7,552.34/x
  3. Step 3: Cross multiply
    11,332.85x = 15,634.31 × 7,552.34
  4. Step 4: Simplify right side
    11,332.85x = 118,075,508.85
  5. Step 5: Solve for x
    x = 118,075,508.85/11,332.85
  6. Step 6: Final answer
    x = 10,418.87

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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.