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Finding the Fourth Proportional to 7,522.34, 10,381.59 and 4,335.75

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Solution

The fourth proportional to 7,522.34, 10,381.59 and 4,335.75 is: 5,983.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,522.34 : 10,381.59 = 4,335.75 : x
  2. Step 2: Convert to fraction form
    7,522.34/10,381.59 = 4,335.75/x
  3. Step 3: Cross multiply
    7,522.34x = 10,381.59 × 4,335.75
  4. Step 4: Simplify right side
    7,522.34x = 45,011,978.84
  5. Step 5: Solve for x
    x = 45,011,978.84/7,522.34
  6. Step 6: Final answer
    x = 5,983.78

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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.