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Finding the Fourth Proportional to 11,379.50, 17,071.76 and 3,482.08

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Solution

The fourth proportional to 11,379.50, 17,071.76 and 3,482.08 is: 5,223.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,379.50 : 17,071.76 = 3,482.08 : x
  2. Step 2: Convert to fraction form
    11,379.50/17,071.76 = 3,482.08/x
  3. Step 3: Cross multiply
    11,379.50x = 17,071.76 × 3,482.08
  4. Step 4: Simplify right side
    11,379.50x = 59,445,248.10
  5. Step 5: Solve for x
    x = 59,445,248.10/11,379.50
  6. Step 6: Final answer
    x = 5,223.89

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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.