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Finding the Fourth Proportional to 10,049.16, 15,050.04 and 5,106.54

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Solution

The fourth proportional to 10,049.16, 15,050.04 and 5,106.54 is: 7,647.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049.16 : 15,050.04 = 5,106.54 : x
  2. Step 2: Convert to fraction form
    10,049.16/15,050.04 = 5,106.54/x
  3. Step 3: Cross multiply
    10,049.16x = 15,050.04 × 5,106.54
  4. Step 4: Simplify right side
    10,049.16x = 76,853,631.26
  5. Step 5: Solve for x
    x = 76,853,631.26/10,049.16
  6. Step 6: Final answer
    x = 7,647.77

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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.