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Finding the Fourth Proportional to 10,138.65, 15,196.10 and 4,585.53

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Solution

The fourth proportional to 10,138.65, 15,196.10 and 4,585.53 is: 6,872.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138.65 : 15,196.10 = 4,585.53 : x
  2. Step 2: Convert to fraction form
    10,138.65/15,196.10 = 4,585.53/x
  3. Step 3: Cross multiply
    10,138.65x = 15,196.10 × 4,585.53
  4. Step 4: Simplify right side
    10,138.65x = 69,682,149.51
  5. Step 5: Solve for x
    x = 69,682,149.51/10,138.65
  6. Step 6: Final answer
    x = 6,872.92

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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.