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Finding the Fourth Proportional to 11,097.66, 16,646.82 and 4,854.45

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Solution

The fourth proportional to 11,097.66, 16,646.82 and 4,854.45 is: 7,281.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097.66 : 16,646.82 = 4,854.45 : x
  2. Step 2: Convert to fraction form
    11,097.66/16,646.82 = 4,854.45/x
  3. Step 3: Cross multiply
    11,097.66x = 16,646.82 × 4,854.45
  4. Step 4: Simplify right side
    11,097.66x = 80,811,155.35
  5. Step 5: Solve for x
    x = 80,811,155.35/11,097.66
  6. Step 6: Final answer
    x = 7,281.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.