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Finding the Fourth Proportional to 10,160.49, 14,024.08 and 6,184.41

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Solution

The fourth proportional to 10,160.49, 14,024.08 and 6,184.41 is: 8,536.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,160.49 : 14,024.08 = 6,184.41 : x
  2. Step 2: Convert to fraction form
    10,160.49/14,024.08 = 6,184.41/x
  3. Step 3: Cross multiply
    10,160.49x = 14,024.08 × 6,184.41
  4. Step 4: Simplify right side
    10,160.49x = 86,730,660.59
  5. Step 5: Solve for x
    x = 86,730,660.59/10,160.49
  6. Step 6: Final answer
    x = 8,536.07

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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.