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Finding the Fourth Proportional to 7,927.50, 11,888.28 and 6,363.66

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Solution

The fourth proportional to 7,927.50, 11,888.28 and 6,363.66 is: 9,543.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,927.50 : 11,888.28 = 6,363.66 : x
  2. Step 2: Convert to fraction form
    7,927.50/11,888.28 = 6,363.66/x
  3. Step 3: Cross multiply
    7,927.50x = 11,888.28 × 6,363.66
  4. Step 4: Simplify right side
    7,927.50x = 75,652,971.90
  5. Step 5: Solve for x
    x = 75,652,971.90/7,927.50
  6. Step 6: Final answer
    x = 9,543.11

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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.