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Finding the Fourth Proportional to 10,556.52, 15,840.26 and 7,658.75

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Solution

The fourth proportional to 10,556.52, 15,840.26 and 7,658.75 is: 11,492.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,556.52 : 15,840.26 = 7,658.75 : x
  2. Step 2: Convert to fraction form
    10,556.52/15,840.26 = 7,658.75/x
  3. Step 3: Cross multiply
    10,556.52x = 15,840.26 × 7,658.75
  4. Step 4: Simplify right side
    10,556.52x = 121,316,473.78
  5. Step 5: Solve for x
    x = 121,316,473.78/10,556.52
  6. Step 6: Final answer
    x = 11,492.09

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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.