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Finding the Fourth Proportional to 7,522.58, 10,381.32 and 4,119.74

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Solution

The fourth proportional to 7,522.58, 10,381.32 and 4,119.74 is: 5,685.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,522.58 : 10,381.32 = 4,119.74 : x
  2. Step 2: Convert to fraction form
    7,522.58/10,381.32 = 4,119.74/x
  3. Step 3: Cross multiply
    7,522.58x = 10,381.32 × 4,119.74
  4. Step 4: Simplify right side
    7,522.58x = 42,768,287.35
  5. Step 5: Solve for x
    x = 42,768,287.35/7,522.58
  6. Step 6: Final answer
    x = 5,685.32

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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.