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Finding the Fourth Proportional to 10,596.85, 15,897.92 and 7,482.95

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Solution

The fourth proportional to 10,596.85, 15,897.92 and 7,482.95 is: 11,226.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.85 : 15,897.92 = 7,482.95 : x
  2. Step 2: Convert to fraction form
    10,596.85/15,897.92 = 7,482.95/x
  3. Step 3: Cross multiply
    10,596.85x = 15,897.92 × 7,482.95
  4. Step 4: Simplify right side
    10,596.85x = 118,963,279.68
  5. Step 5: Solve for x
    x = 118,963,279.68/10,596.85
  6. Step 6: Final answer
    x = 11,226.29

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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.