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Finding the Fourth Proportional to 10,207.50, 15,311.34 and 4,051.50

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Solution

The fourth proportional to 10,207.50, 15,311.34 and 4,051.50 is: 6,077.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,207.50 : 15,311.34 = 4,051.50 : x
  2. Step 2: Convert to fraction form
    10,207.50/15,311.34 = 4,051.50/x
  3. Step 3: Cross multiply
    10,207.50x = 15,311.34 × 4,051.50
  4. Step 4: Simplify right side
    10,207.50x = 62,033,894.01
  5. Step 5: Solve for x
    x = 62,033,894.01/10,207.50
  6. Step 6: Final answer
    x = 6,077.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.