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Finding the Fourth Proportional to 10,053.34, 15,080.64 and 3,478.66

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Solution

The fourth proportional to 10,053.34, 15,080.64 and 3,478.66 is: 5,218.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,053.34 : 15,080.64 = 3,478.66 : x
  2. Step 2: Convert to fraction form
    10,053.34/15,080.64 = 3,478.66/x
  3. Step 3: Cross multiply
    10,053.34x = 15,080.64 × 3,478.66
  4. Step 4: Simplify right side
    10,053.34x = 52,460,419.14
  5. Step 5: Solve for x
    x = 52,460,419.14/10,053.34
  6. Step 6: Final answer
    x = 5,218.21

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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.