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Finding the Fourth Proportional to 10,077.75, 15,018.99 and 9,552.87

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Solution

The fourth proportional to 10,077.75, 15,018.99 and 9,552.87 is: 14,236.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.75 : 15,018.99 = 9,552.87 : x
  2. Step 2: Convert to fraction form
    10,077.75/15,018.99 = 9,552.87/x
  3. Step 3: Cross multiply
    10,077.75x = 15,018.99 × 9,552.87
  4. Step 4: Simplify right side
    10,077.75x = 143,474,423.18
  5. Step 5: Solve for x
    x = 143,474,423.18/10,077.75
  6. Step 6: Final answer
    x = 14,236.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.