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Finding the Fourth Proportional to 10,041.81, 15,057.06 and 4,117.06

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Solution

The fourth proportional to 10,041.81, 15,057.06 and 4,117.06 is: 6,173.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,041.81 : 15,057.06 = 4,117.06 : x
  2. Step 2: Convert to fraction form
    10,041.81/15,057.06 = 4,117.06/x
  3. Step 3: Cross multiply
    10,041.81x = 15,057.06 × 4,117.06
  4. Step 4: Simplify right side
    10,041.81x = 61,990,819.44
  5. Step 5: Solve for x
    x = 61,990,819.44/10,041.81
  6. Step 6: Final answer
    x = 6,173.27

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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.