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Finding the Fourth Proportional to 10,053.49, 15,080.27 and 4,206

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Solution

The fourth proportional to 10,053.49, 15,080.27 and 4,206 is: 6,309.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,053.49 : 15,080.27 = 4,206 : x
  2. Step 2: Convert to fraction form
    10,053.49/15,080.27 = 4,206/x
  3. Step 3: Cross multiply
    10,053.49x = 15,080.27 × 4,206
  4. Step 4: Simplify right side
    10,053.49x = 63,427,615.62
  5. Step 5: Solve for x
    x = 63,427,615.62/10,053.49
  6. Step 6: Final answer
    x = 6,309.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.