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Finding the Fourth Proportional to 10,323.90, 15,488.01 and 3,397.50

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Solution

The fourth proportional to 10,323.90, 15,488.01 and 3,397.50 is: 5,096.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,323.90 : 15,488.01 = 3,397.50 : x
  2. Step 2: Convert to fraction form
    10,323.90/15,488.01 = 3,397.50/x
  3. Step 3: Cross multiply
    10,323.90x = 15,488.01 × 3,397.50
  4. Step 4: Simplify right side
    10,323.90x = 52,620,513.98
  5. Step 5: Solve for x
    x = 52,620,513.98/10,323.90
  6. Step 6: Final answer
    x = 5,096.96

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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.