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Finding the Fourth Proportional to 10,433.64, 15,650.49 and 3,038.28

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Solution

The fourth proportional to 10,433.64, 15,650.49 and 3,038.28 is: 4,557.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,433.64 : 15,650.49 = 3,038.28 : x
  2. Step 2: Convert to fraction form
    10,433.64/15,650.49 = 3,038.28/x
  3. Step 3: Cross multiply
    10,433.64x = 15,650.49 × 3,038.28
  4. Step 4: Simplify right side
    10,433.64x = 47,550,477.31
  5. Step 5: Solve for x
    x = 47,550,477.31/10,433.64
  6. Step 6: Final answer
    x = 4,557.42

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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.