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Finding the Fourth Proportional to 10,522.71, 14,518.71 and 6,047.73

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Solution

The fourth proportional to 10,522.71, 14,518.71 and 6,047.73 is: 8,344.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.71 : 14,518.71 = 6,047.73 : x
  2. Step 2: Convert to fraction form
    10,522.71/14,518.71 = 6,047.73/x
  3. Step 3: Cross multiply
    10,522.71x = 14,518.71 × 6,047.73
  4. Step 4: Simplify right side
    10,522.71x = 87,805,238.03
  5. Step 5: Solve for x
    x = 87,805,238.03/10,522.71
  6. Step 6: Final answer
    x = 8,344.36

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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.