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Finding the Fourth Proportional to 7,710.91, 11,566.33 and 1,867.52

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Solution

The fourth proportional to 7,710.91, 11,566.33 and 1,867.52 is: 2,801.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.91 : 11,566.33 = 1,867.52 : x
  2. Step 2: Convert to fraction form
    7,710.91/11,566.33 = 1,867.52/x
  3. Step 3: Cross multiply
    7,710.91x = 11,566.33 × 1,867.52
  4. Step 4: Simplify right side
    7,710.91x = 21,600,343.26
  5. Step 5: Solve for x
    x = 21,600,343.26/7,710.91
  6. Step 6: Final answer
    x = 2,801.27

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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.