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Finding the Fourth Proportional to 7,264.45, 10,029.74 and 5,582.80

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Solution

The fourth proportional to 7,264.45, 10,029.74 and 5,582.80 is: 7,707.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,264.45 : 10,029.74 = 5,582.80 : x
  2. Step 2: Convert to fraction form
    7,264.45/10,029.74 = 5,582.80/x
  3. Step 3: Cross multiply
    7,264.45x = 10,029.74 × 5,582.80
  4. Step 4: Simplify right side
    7,264.45x = 55,994,004.56
  5. Step 5: Solve for x
    x = 55,994,004.56/7,264.45
  6. Step 6: Final answer
    x = 7,707.95

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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.