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Finding the Fourth Proportional to 10,776.99, 14,867.36 and 7,788.09

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Solution

The fourth proportional to 10,776.99, 14,867.36 and 7,788.09 is: 10,744.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,776.99 : 14,867.36 = 7,788.09 : x
  2. Step 2: Convert to fraction form
    10,776.99/14,867.36 = 7,788.09/x
  3. Step 3: Cross multiply
    10,776.99x = 14,867.36 × 7,788.09
  4. Step 4: Simplify right side
    10,776.99x = 115,788,357.21
  5. Step 5: Solve for x
    x = 115,788,357.21/10,776.99
  6. Step 6: Final answer
    x = 10,744.03

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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.