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Finding the Fourth Proportional to 10,334.80, 14,264.08 and 6,142.24

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Solution

The fourth proportional to 10,334.80, 14,264.08 and 6,142.24 is: 8,477.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,334.80 : 14,264.08 = 6,142.24 : x
  2. Step 2: Convert to fraction form
    10,334.80/14,264.08 = 6,142.24/x
  3. Step 3: Cross multiply
    10,334.80x = 14,264.08 × 6,142.24
  4. Step 4: Simplify right side
    10,334.80x = 87,613,402.74
  5. Step 5: Solve for x
    x = 87,613,402.74/10,334.80
  6. Step 6: Final answer
    x = 8,477.51

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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.