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Finding the Fourth Proportional to 10,486.17, 15,725.93 and 3,464.89

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Solution

The fourth proportional to 10,486.17, 15,725.93 and 3,464.89 is: 5,196.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.17 : 15,725.93 = 3,464.89 : x
  2. Step 2: Convert to fraction form
    10,486.17/15,725.93 = 3,464.89/x
  3. Step 3: Cross multiply
    10,486.17x = 15,725.93 × 3,464.89
  4. Step 4: Simplify right side
    10,486.17x = 54,488,560.96
  5. Step 5: Solve for x
    x = 54,488,560.96/10,486.17
  6. Step 6: Final answer
    x = 5,196.23

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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.