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Finding the Fourth Proportional to 10,023.10, 15,040.05 and 4,477.30

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Solution

The fourth proportional to 10,023.10, 15,040.05 and 4,477.30 is: 6,718.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.10 : 15,040.05 = 4,477.30 : x
  2. Step 2: Convert to fraction form
    10,023.10/15,040.05 = 4,477.30/x
  3. Step 3: Cross multiply
    10,023.10x = 15,040.05 × 4,477.30
  4. Step 4: Simplify right side
    10,023.10x = 67,338,815.87
  5. Step 5: Solve for x
    x = 67,338,815.87/10,023.10
  6. Step 6: Final answer
    x = 6,718.36

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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.