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Finding the Fourth Proportional to 7,823.01, 11,673.66 and 7,635.36

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Solution

The fourth proportional to 7,823.01, 11,673.66 and 7,635.36 is: 11,393.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.01 : 11,673.66 = 7,635.36 : x
  2. Step 2: Convert to fraction form
    7,823.01/11,673.66 = 7,635.36/x
  3. Step 3: Cross multiply
    7,823.01x = 11,673.66 × 7,635.36
  4. Step 4: Simplify right side
    7,823.01x = 89,132,596.62
  5. Step 5: Solve for x
    x = 89,132,596.62/7,823.01
  6. Step 6: Final answer
    x = 11,393.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.