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Finding the Fourth Proportional to 10,335.59, 14,264.34 and 6,143.84

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Solution

The fourth proportional to 10,335.59, 14,264.34 and 6,143.84 is: 8,479.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,335.59 : 14,264.34 = 6,143.84 : x
  2. Step 2: Convert to fraction form
    10,335.59/14,264.34 = 6,143.84/x
  3. Step 3: Cross multiply
    10,335.59x = 14,264.34 × 6,143.84
  4. Step 4: Simplify right side
    10,335.59x = 87,637,781.80
  5. Step 5: Solve for x
    x = 87,637,781.80/10,335.59
  6. Step 6: Final answer
    x = 8,479.22

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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.