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Finding the Fourth Proportional to 7,695.60, 11,556.45 and 7,301.04

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Solution

The fourth proportional to 7,695.60, 11,556.45 and 7,301.04 is: 10,963.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,695.60 : 11,556.45 = 7,301.04 : x
  2. Step 2: Convert to fraction form
    7,695.60/11,556.45 = 7,301.04/x
  3. Step 3: Cross multiply
    7,695.60x = 11,556.45 × 7,301.04
  4. Step 4: Simplify right side
    7,695.60x = 84,374,103.71
  5. Step 5: Solve for x
    x = 84,374,103.71/7,695.60
  6. Step 6: Final answer
    x = 10,963.94

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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.