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Finding the Fourth Proportional to 10,277.41, 15,410.12 and 4,030.10

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Solution

The fourth proportional to 10,277.41, 15,410.12 and 4,030.10 is: 6,042.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,277.41 : 15,410.12 = 4,030.10 : x
  2. Step 2: Convert to fraction form
    10,277.41/15,410.12 = 4,030.10/x
  3. Step 3: Cross multiply
    10,277.41x = 15,410.12 × 4,030.10
  4. Step 4: Simplify right side
    10,277.41x = 62,104,247.56
  5. Step 5: Solve for x
    x = 62,104,247.56/10,277.41
  6. Step 6: Final answer
    x = 6,042.79

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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.