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Finding the Fourth Proportional to 7,589.48, 10,473.46 and 5,075.24

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Solution

The fourth proportional to 7,589.48, 10,473.46 and 5,075.24 is: 7,003.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,589.48 : 10,473.46 = 5,075.24 : x
  2. Step 2: Convert to fraction form
    7,589.48/10,473.46 = 5,075.24/x
  3. Step 3: Cross multiply
    7,589.48x = 10,473.46 × 5,075.24
  4. Step 4: Simplify right side
    7,589.48x = 53,155,323.13
  5. Step 5: Solve for x
    x = 53,155,323.13/7,589.48
  6. Step 6: Final answer
    x = 7,003.82

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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.