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Finding the Fourth Proportional to 10,778.99, 14,870.12 and 7,790.09

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Solution

The fourth proportional to 10,778.99, 14,870.12 and 7,790.09 is: 10,746.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778.99 : 14,870.12 = 7,790.09 : x
  2. Step 2: Convert to fraction form
    10,778.99/14,870.12 = 7,790.09/x
  3. Step 3: Cross multiply
    10,778.99x = 14,870.12 × 7,790.09
  4. Step 4: Simplify right side
    10,778.99x = 115,839,573.11
  5. Step 5: Solve for x
    x = 115,839,573.11/10,778.99
  6. Step 6: Final answer
    x = 10,746.79

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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.