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Finding the Fourth Proportional to 11,868.61, 16,378.79 and 6,563.78

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Solution

The fourth proportional to 11,868.61, 16,378.79 and 6,563.78 is: 9,058.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,868.61 : 16,378.79 = 6,563.78 : x
  2. Step 2: Convert to fraction form
    11,868.61/16,378.79 = 6,563.78/x
  3. Step 3: Cross multiply
    11,868.61x = 16,378.79 × 6,563.78
  4. Step 4: Simplify right side
    11,868.61x = 107,506,774.23
  5. Step 5: Solve for x
    x = 107,506,774.23/11,868.61
  6. Step 6: Final answer
    x = 9,058.08

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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.