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Finding the Fourth Proportional to 7,432.76, 10,257.34 and 4,075.52

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Solution

The fourth proportional to 7,432.76, 10,257.34 and 4,075.52 is: 5,624.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,432.76 : 10,257.34 = 4,075.52 : x
  2. Step 2: Convert to fraction form
    7,432.76/10,257.34 = 4,075.52/x
  3. Step 3: Cross multiply
    7,432.76x = 10,257.34 × 4,075.52
  4. Step 4: Simplify right side
    7,432.76x = 41,803,994.32
  5. Step 5: Solve for x
    x = 41,803,994.32/7,432.76
  6. Step 6: Final answer
    x = 5,624.29

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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.