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Finding the Fourth Proportional to 8,285.59, 11,434.41 and 4,749.47

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Solution

The fourth proportional to 8,285.59, 11,434.41 and 4,749.47 is: 6,554.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285.59 : 11,434.41 = 4,749.47 : x
  2. Step 2: Convert to fraction form
    8,285.59/11,434.41 = 4,749.47/x
  3. Step 3: Cross multiply
    8,285.59x = 11,434.41 × 4,749.47
  4. Step 4: Simplify right side
    8,285.59x = 54,307,387.26
  5. Step 5: Solve for x
    x = 54,307,387.26/8,285.59
  6. Step 6: Final answer
    x = 6,554.44

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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.