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Finding the Fourth Proportional to 10,252.35, 14,148.09 and 5,776.20

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Solution

The fourth proportional to 10,252.35, 14,148.09 and 5,776.20 is: 7,971.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,252.35 : 14,148.09 = 5,776.20 : x
  2. Step 2: Convert to fraction form
    10,252.35/14,148.09 = 5,776.20/x
  3. Step 3: Cross multiply
    10,252.35x = 14,148.09 × 5,776.20
  4. Step 4: Simplify right side
    10,252.35x = 81,722,197.46
  5. Step 5: Solve for x
    x = 81,722,197.46/10,252.35
  6. Step 6: Final answer
    x = 7,971.07

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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.