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Finding the Fourth Proportional to 11,865.66, 16,374.36 and 6,560.37

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Solution

The fourth proportional to 11,865.66, 16,374.36 and 6,560.37 is: 9,053.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,865.66 : 16,374.36 = 6,560.37 : x
  2. Step 2: Convert to fraction form
    11,865.66/16,374.36 = 6,560.37/x
  3. Step 3: Cross multiply
    11,865.66x = 16,374.36 × 6,560.37
  4. Step 4: Simplify right side
    11,865.66x = 107,421,860.11
  5. Step 5: Solve for x
    x = 107,421,860.11/11,865.66
  6. Step 6: Final answer
    x = 9,053.17

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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.