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Finding the Fourth Proportional to 7,592.88, 11,391.16 and 3,696.40

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Solution

The fourth proportional to 7,592.88, 11,391.16 and 3,696.40 is: 5,545.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,592.88 : 11,391.16 = 3,696.40 : x
  2. Step 2: Convert to fraction form
    7,592.88/11,391.16 = 3,696.40/x
  3. Step 3: Cross multiply
    7,592.88x = 11,391.16 × 3,696.40
  4. Step 4: Simplify right side
    7,592.88x = 42,106,283.82
  5. Step 5: Solve for x
    x = 42,106,283.82/7,592.88
  6. Step 6: Final answer
    x = 5,545.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.