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Finding the Fourth Proportional to 10,524.25, 14,521.81 and 6,047.14

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Solution

The fourth proportional to 10,524.25, 14,521.81 and 6,047.14 is: 8,344.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.25 : 14,521.81 = 6,047.14 : x
  2. Step 2: Convert to fraction form
    10,524.25/14,521.81 = 6,047.14/x
  3. Step 3: Cross multiply
    10,524.25x = 14,521.81 × 6,047.14
  4. Step 4: Simplify right side
    10,524.25x = 87,815,360.63
  5. Step 5: Solve for x
    x = 87,815,360.63/10,524.25
  6. Step 6: Final answer
    x = 8,344.10

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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.