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Finding the Fourth Proportional to 10,109.52, 15,152.76 and 4,626

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Solution

The fourth proportional to 10,109.52, 15,152.76 and 4,626 is: 6,933.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,109.52 : 15,152.76 = 4,626 : x
  2. Step 2: Convert to fraction form
    10,109.52/15,152.76 = 4,626/x
  3. Step 3: Cross multiply
    10,109.52x = 15,152.76 × 4,626
  4. Step 4: Simplify right side
    10,109.52x = 70,096,667.76
  5. Step 5: Solve for x
    x = 70,096,667.76/10,109.52
  6. Step 6: Final answer
    x = 6,933.73

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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.