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Finding the Fourth Proportional to 11,484.87, 17,205.38 and 7,780.74

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Solution

The fourth proportional to 11,484.87, 17,205.38 and 7,780.74 is: 11,656.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,484.87 : 17,205.38 = 7,780.74 : x
  2. Step 2: Convert to fraction form
    11,484.87/17,205.38 = 7,780.74/x
  3. Step 3: Cross multiply
    11,484.87x = 17,205.38 × 7,780.74
  4. Step 4: Simplify right side
    11,484.87x = 133,870,502.35
  5. Step 5: Solve for x
    x = 133,870,502.35/11,484.87
  6. Step 6: Final answer
    x = 11,656.25

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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.