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Finding the Fourth Proportional to 10,347.48, 14,285.34 and 7,920.27

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Solution

The fourth proportional to 10,347.48, 14,285.34 and 7,920.27 is: 10,934.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,347.48 : 14,285.34 = 7,920.27 : x
  2. Step 2: Convert to fraction form
    10,347.48/14,285.34 = 7,920.27/x
  3. Step 3: Cross multiply
    10,347.48x = 14,285.34 × 7,920.27
  4. Step 4: Simplify right side
    10,347.48x = 113,143,749.84
  5. Step 5: Solve for x
    x = 113,143,749.84/10,347.48
  6. Step 6: Final answer
    x = 10,934.43

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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.