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Finding the Fourth Proportional to 10,112.99, 15,168.06 and 5,182.65

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Solution

The fourth proportional to 10,112.99, 15,168.06 and 5,182.65 is: 7,773.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,112.99 : 15,168.06 = 5,182.65 : x
  2. Step 2: Convert to fraction form
    10,112.99/15,168.06 = 5,182.65/x
  3. Step 3: Cross multiply
    10,112.99x = 15,168.06 × 5,182.65
  4. Step 4: Simplify right side
    10,112.99x = 78,610,746.16
  5. Step 5: Solve for x
    x = 78,610,746.16/10,112.99
  6. Step 6: Final answer
    x = 7,773.25

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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.