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Finding the Fourth Proportional to 11,468.61, 15,826.01 and 6,433.65

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Solution

The fourth proportional to 11,468.61, 15,826.01 and 6,433.65 is: 8,878.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,468.61 : 15,826.01 = 6,433.65 : x
  2. Step 2: Convert to fraction form
    11,468.61/15,826.01 = 6,433.65/x
  3. Step 3: Cross multiply
    11,468.61x = 15,826.01 × 6,433.65
  4. Step 4: Simplify right side
    11,468.61x = 101,818,977.07
  5. Step 5: Solve for x
    x = 101,818,977.07/11,468.61
  6. Step 6: Final answer
    x = 8,878.06

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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.