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Finding the Fourth Proportional to 7,432.57, 10,256.94 and 4,075.31

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Solution

The fourth proportional to 7,432.57, 10,256.94 and 4,075.31 is: 5,623.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,432.57 : 10,256.94 = 4,075.31 : x
  2. Step 2: Convert to fraction form
    7,432.57/10,256.94 = 4,075.31/x
  3. Step 3: Cross multiply
    7,432.57x = 10,256.94 × 4,075.31
  4. Step 4: Simplify right side
    7,432.57x = 41,800,210.15
  5. Step 5: Solve for x
    x = 41,800,210.15/7,432.57
  6. Step 6: Final answer
    x = 5,623.92

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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.