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Finding the Fourth Proportional to 12,071.81, 16,664.56 and 7,602.13

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Solution

The fourth proportional to 12,071.81, 16,664.56 and 7,602.13 is: 10,494.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,071.81 : 16,664.56 = 7,602.13 : x
  2. Step 2: Convert to fraction form
    12,071.81/16,664.56 = 7,602.13/x
  3. Step 3: Cross multiply
    12,071.81x = 16,664.56 × 7,602.13
  4. Step 4: Simplify right side
    12,071.81x = 126,686,153.34
  5. Step 5: Solve for x
    x = 126,686,153.34/12,071.81
  6. Step 6: Final answer
    x = 10,494.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.