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Finding the Fourth Proportional to 11,059.34, 15,261.48 and 6,147.77

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Solution

The fourth proportional to 11,059.34, 15,261.48 and 6,147.77 is: 8,483.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,059.34 : 15,261.48 = 6,147.77 : x
  2. Step 2: Convert to fraction form
    11,059.34/15,261.48 = 6,147.77/x
  3. Step 3: Cross multiply
    11,059.34x = 15,261.48 × 6,147.77
  4. Step 4: Simplify right side
    11,059.34x = 93,823,992.59
  5. Step 5: Solve for x
    x = 93,823,992.59/11,059.34
  6. Step 6: Final answer
    x = 8,483.69

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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.