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Finding the Fourth Proportional to 10,592.50, 15,888.33 and 3,196.76

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Solution

The fourth proportional to 10,592.50, 15,888.33 and 3,196.76 is: 4,795.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592.50 : 15,888.33 = 3,196.76 : x
  2. Step 2: Convert to fraction form
    10,592.50/15,888.33 = 3,196.76/x
  3. Step 3: Cross multiply
    10,592.50x = 15,888.33 × 3,196.76
  4. Step 4: Simplify right side
    10,592.50x = 50,791,098.37
  5. Step 5: Solve for x
    x = 50,791,098.37/10,592.50
  6. Step 6: Final answer
    x = 4,795.01

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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.