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Finding the Fourth Proportional to 10,473.17, 14,452.86 and 5,693.09

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Solution

The fourth proportional to 10,473.17, 14,452.86 and 5,693.09 is: 7,856.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,473.17 : 14,452.86 = 5,693.09 : x
  2. Step 2: Convert to fraction form
    10,473.17/14,452.86 = 5,693.09/x
  3. Step 3: Cross multiply
    10,473.17x = 14,452.86 × 5,693.09
  4. Step 4: Simplify right side
    10,473.17x = 82,281,381.82
  5. Step 5: Solve for x
    x = 82,281,381.82/10,473.17
  6. Step 6: Final answer
    x = 7,856.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.