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Finding the Fourth Proportional to 11,869.86, 16,378.64 and 6,564.90

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Solution

The fourth proportional to 11,869.86, 16,378.64 and 6,564.90 is: 9,058.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,869.86 : 16,378.64 = 6,564.90 : x
  2. Step 2: Convert to fraction form
    11,869.86/16,378.64 = 6,564.90/x
  3. Step 3: Cross multiply
    11,869.86x = 16,378.64 × 6,564.90
  4. Step 4: Simplify right side
    11,869.86x = 107,524,133.74
  5. Step 5: Solve for x
    x = 107,524,133.74/11,869.86
  6. Step 6: Final answer
    x = 9,058.58

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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.