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Finding the Fourth Proportional to 10,792.48, 14,871.72 and 8,274.64

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Solution

The fourth proportional to 10,792.48, 14,871.72 and 8,274.64 is: 11,402.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,792.48 : 14,871.72 = 8,274.64 : x
  2. Step 2: Convert to fraction form
    10,792.48/14,871.72 = 8,274.64/x
  3. Step 3: Cross multiply
    10,792.48x = 14,871.72 × 8,274.64
  4. Step 4: Simplify right side
    10,792.48x = 123,058,129.18
  5. Step 5: Solve for x
    x = 123,058,129.18/10,792.48
  6. Step 6: Final answer
    x = 11,402.21

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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.