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Finding the Fourth Proportional to 7,522.61, 10,380.35 and 4,164.58

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Solution

The fourth proportional to 7,522.61, 10,380.35 and 4,164.58 is: 5,746.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,522.61 : 10,380.35 = 4,164.58 : x
  2. Step 2: Convert to fraction form
    7,522.61/10,380.35 = 4,164.58/x
  3. Step 3: Cross multiply
    7,522.61x = 10,380.35 × 4,164.58
  4. Step 4: Simplify right side
    7,522.61x = 43,229,790.27
  5. Step 5: Solve for x
    x = 43,229,790.27/7,522.61
  6. Step 6: Final answer
    x = 5,746.65

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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.