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Finding the Fourth Proportional to 7,525.38, 11,281.86 and 6,705.40

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Solution

The fourth proportional to 7,525.38, 11,281.86 and 6,705.40 is: 10,052.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,525.38 : 11,281.86 = 6,705.40 : x
  2. Step 2: Convert to fraction form
    7,525.38/11,281.86 = 6,705.40/x
  3. Step 3: Cross multiply
    7,525.38x = 11,281.86 × 6,705.40
  4. Step 4: Simplify right side
    7,525.38x = 75,649,384.04
  5. Step 5: Solve for x
    x = 75,649,384.04/7,525.38
  6. Step 6: Final answer
    x = 10,052.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.