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Finding the Fourth Proportional to 7,264.09, 10,024.50 and 4,120.30

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Solution

The fourth proportional to 7,264.09, 10,024.50 and 4,120.30 is: 5,686.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,264.09 : 10,024.50 = 4,120.30 : x
  2. Step 2: Convert to fraction form
    7,264.09/10,024.50 = 4,120.30/x
  3. Step 3: Cross multiply
    7,264.09x = 10,024.50 × 4,120.30
  4. Step 4: Simplify right side
    7,264.09x = 41,303,947.35
  5. Step 5: Solve for x
    x = 41,303,947.35/7,264.09
  6. Step 6: Final answer
    x = 5,686.05

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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.