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Finding the Fourth Proportional to 10,443.48, 14,412.06 and 5,727.76

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Solution

The fourth proportional to 10,443.48, 14,412.06 and 5,727.76 is: 7,904.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,443.48 : 14,412.06 = 5,727.76 : x
  2. Step 2: Convert to fraction form
    10,443.48/14,412.06 = 5,727.76/x
  3. Step 3: Cross multiply
    10,443.48x = 14,412.06 × 5,727.76
  4. Step 4: Simplify right side
    10,443.48x = 82,548,820.79
  5. Step 5: Solve for x
    x = 82,548,820.79/10,443.48
  6. Step 6: Final answer
    x = 7,904.34

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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.