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Finding the Fourth Proportional to 11,587.70, 17,381.55 and 7,202.90

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Solution

The fourth proportional to 11,587.70, 17,381.55 and 7,202.90 is: 10,804.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,587.70 : 17,381.55 = 7,202.90 : x
  2. Step 2: Convert to fraction form
    11,587.70/17,381.55 = 7,202.90/x
  3. Step 3: Cross multiply
    11,587.70x = 17,381.55 × 7,202.90
  4. Step 4: Simplify right side
    11,587.70x = 125,197,566.50
  5. Step 5: Solve for x
    x = 125,197,566.50/11,587.70
  6. Step 6: Final answer
    x = 10,804.35

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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.