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Finding the Fourth Proportional to 7,075.60, 10,610 and 2,144.32

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Solution

The fourth proportional to 7,075.60, 10,610 and 2,144.32 is: 3,215.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.60 : 10,610 = 2,144.32 : x
  2. Step 2: Convert to fraction form
    7,075.60/10,610 = 2,144.32/x
  3. Step 3: Cross multiply
    7,075.60x = 10,610 × 2,144.32
  4. Step 4: Simplify right side
    7,075.60x = 22,751,235.20
  5. Step 5: Solve for x
    x = 22,751,235.20/7,075.60
  6. Step 6: Final answer
    x = 3,215.45

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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.