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Finding the Fourth Proportional to 7,536.32, 11,295 and 5,345.60

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Solution

The fourth proportional to 7,536.32, 11,295 and 5,345.60 is: 8,011.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,536.32 : 11,295 = 5,345.60 : x
  2. Step 2: Convert to fraction form
    7,536.32/11,295 = 5,345.60/x
  3. Step 3: Cross multiply
    7,536.32x = 11,295 × 5,345.60
  4. Step 4: Simplify right side
    7,536.32x = 60,378,552.00
  5. Step 5: Solve for x
    x = 60,378,552.00/7,536.32
  6. Step 6: Final answer
    x = 8,011.68

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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.