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Finding the Fourth Proportional to 7,508.24, 10,355.46 and 7,005.22

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Solution

The fourth proportional to 7,508.24, 10,355.46 and 7,005.22 is: 9,661.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,508.24 : 10,355.46 = 7,005.22 : x
  2. Step 2: Convert to fraction form
    7,508.24/10,355.46 = 7,005.22/x
  3. Step 3: Cross multiply
    7,508.24x = 10,355.46 × 7,005.22
  4. Step 4: Simplify right side
    7,508.24x = 72,542,275.50
  5. Step 5: Solve for x
    x = 72,542,275.50/7,508.24
  6. Step 6: Final answer
    x = 9,661.69

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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.