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Finding the Fourth Proportional to 7,523.91, 11,272.50 and 6,417.05

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Solution

The fourth proportional to 7,523.91, 11,272.50 and 6,417.05 is: 9,614.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,523.91 : 11,272.50 = 6,417.05 : x
  2. Step 2: Convert to fraction form
    7,523.91/11,272.50 = 6,417.05/x
  3. Step 3: Cross multiply
    7,523.91x = 11,272.50 × 6,417.05
  4. Step 4: Simplify right side
    7,523.91x = 72,336,139.76
  5. Step 5: Solve for x
    x = 72,336,139.76/7,523.91
  6. Step 6: Final answer
    x = 9,614.17

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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.