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Finding the Fourth Proportional to 10,252.54, 14,148.78 and 5,776.03

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Solution

The fourth proportional to 10,252.54, 14,148.78 and 5,776.03 is: 7,971.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,252.54 : 14,148.78 = 5,776.03 : x
  2. Step 2: Convert to fraction form
    10,252.54/14,148.78 = 5,776.03/x
  3. Step 3: Cross multiply
    10,252.54x = 14,148.78 × 5,776.03
  4. Step 4: Simplify right side
    10,252.54x = 81,723,777.74
  5. Step 5: Solve for x
    x = 81,723,777.74/10,252.54
  6. Step 6: Final answer
    x = 7,971.08

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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.