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Finding the Fourth Proportional to 10,556.52, 14,567.78 and 5,840.52

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Solution

The fourth proportional to 10,556.52, 14,567.78 and 5,840.52 is: 8,059.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,556.52 : 14,567.78 = 5,840.52 : x
  2. Step 2: Convert to fraction form
    10,556.52/14,567.78 = 5,840.52/x
  3. Step 3: Cross multiply
    10,556.52x = 14,567.78 × 5,840.52
  4. Step 4: Simplify right side
    10,556.52x = 85,083,410.45
  5. Step 5: Solve for x
    x = 85,083,410.45/10,556.52
  6. Step 6: Final answer
    x = 8,059.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.