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Finding the Fourth Proportional to 11,641.18, 16,055.41 and 7,156.92

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Solution

The fourth proportional to 11,641.18, 16,055.41 and 7,156.92 is: 9,870.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.18 : 16,055.41 = 7,156.92 : x
  2. Step 2: Convert to fraction form
    11,641.18/16,055.41 = 7,156.92/x
  3. Step 3: Cross multiply
    11,641.18x = 16,055.41 × 7,156.92
  4. Step 4: Simplify right side
    11,641.18x = 114,907,284.94
  5. Step 5: Solve for x
    x = 114,907,284.94/11,641.18
  6. Step 6: Final answer
    x = 9,870.76

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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.