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Finding the Fourth Proportional to 8,239.36, 12,349.44 and 7,582.72

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Solution

The fourth proportional to 8,239.36, 12,349.44 and 7,582.72 is: 11,365.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.36 : 12,349.44 = 7,582.72 : x
  2. Step 2: Convert to fraction form
    8,239.36/12,349.44 = 7,582.72/x
  3. Step 3: Cross multiply
    8,239.36x = 12,349.44 × 7,582.72
  4. Step 4: Simplify right side
    8,239.36x = 93,642,345.68
  5. Step 5: Solve for x
    x = 93,642,345.68/8,239.36
  6. Step 6: Final answer
    x = 11,365.25

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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.