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Finding the Fourth Proportional to 7,407.54, 10,224.85 and 4,264.50

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Solution

The fourth proportional to 7,407.54, 10,224.85 and 4,264.50 is: 5,886.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,407.54 : 10,224.85 = 4,264.50 : x
  2. Step 2: Convert to fraction form
    7,407.54/10,224.85 = 4,264.50/x
  3. Step 3: Cross multiply
    7,407.54x = 10,224.85 × 4,264.50
  4. Step 4: Simplify right side
    7,407.54x = 43,603,872.83
  5. Step 5: Solve for x
    x = 43,603,872.83/7,407.54
  6. Step 6: Final answer
    x = 5,886.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.