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Finding the Fourth Proportional to 10,217.48, 14,101.44 and 6,026

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Solution

The fourth proportional to 10,217.48, 14,101.44 and 6,026 is: 8,316.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,217.48 : 14,101.44 = 6,026 : x
  2. Step 2: Convert to fraction form
    10,217.48/14,101.44 = 6,026/x
  3. Step 3: Cross multiply
    10,217.48x = 14,101.44 × 6,026
  4. Step 4: Simplify right side
    10,217.48x = 84,975,277.44
  5. Step 5: Solve for x
    x = 84,975,277.44/10,217.48
  6. Step 6: Final answer
    x = 8,316.66

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