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Finding the Fourth Proportional to 10,483.42, 15,726.69 and 3,464.18

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Solution

The fourth proportional to 10,483.42, 15,726.69 and 3,464.18 is: 5,196.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483.42 : 15,726.69 = 3,464.18 : x
  2. Step 2: Convert to fraction form
    10,483.42/15,726.69 = 3,464.18/x
  3. Step 3: Cross multiply
    10,483.42x = 15,726.69 × 3,464.18
  4. Step 4: Simplify right side
    10,483.42x = 54,480,056.65
  5. Step 5: Solve for x
    x = 54,480,056.65/10,483.42
  6. Step 6: Final answer
    x = 5,196.78

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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.