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Finding the Fourth Proportional to 11,206.58, 15,464.40 and 6,489.95

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Solution

The fourth proportional to 11,206.58, 15,464.40 and 6,489.95 is: 8,955.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206.58 : 15,464.40 = 6,489.95 : x
  2. Step 2: Convert to fraction form
    11,206.58/15,464.40 = 6,489.95/x
  3. Step 3: Cross multiply
    11,206.58x = 15,464.40 × 6,489.95
  4. Step 4: Simplify right side
    11,206.58x = 100,363,182.78
  5. Step 5: Solve for x
    x = 100,363,182.78/11,206.58
  6. Step 6: Final answer
    x = 8,955.74

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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.