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Finding the Fourth Proportional to 7,432.58, 10,256.73 and 4,075.31

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Solution

The fourth proportional to 7,432.58, 10,256.73 and 4,075.31 is: 5,623.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,432.58 : 10,256.73 = 4,075.31 : x
  2. Step 2: Convert to fraction form
    7,432.58/10,256.73 = 4,075.31/x
  3. Step 3: Cross multiply
    7,432.58x = 10,256.73 × 4,075.31
  4. Step 4: Simplify right side
    7,432.58x = 41,799,303.05
  5. Step 5: Solve for x
    x = 41,799,303.05/7,432.58
  6. Step 6: Final answer
    x = 5,623.79

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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.