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Finding the Fourth Proportional to 10,602.54, 15,904.26 and 4,029.12

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Solution

The fourth proportional to 10,602.54, 15,904.26 and 4,029.12 is: 6,043.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.54 : 15,904.26 = 4,029.12 : x
  2. Step 2: Convert to fraction form
    10,602.54/15,904.26 = 4,029.12/x
  3. Step 3: Cross multiply
    10,602.54x = 15,904.26 × 4,029.12
  4. Step 4: Simplify right side
    10,602.54x = 64,080,172.05
  5. Step 5: Solve for x
    x = 64,080,172.05/10,602.54
  6. Step 6: Final answer
    x = 6,043.85

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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.