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Finding the Fourth Proportional to 10,706.99, 14,780.27 and 8,055.05

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Solution

The fourth proportional to 10,706.99, 14,780.27 and 8,055.05 is: 11,119.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.99 : 14,780.27 = 8,055.05 : x
  2. Step 2: Convert to fraction form
    10,706.99/14,780.27 = 8,055.05/x
  3. Step 3: Cross multiply
    10,706.99x = 14,780.27 × 8,055.05
  4. Step 4: Simplify right side
    10,706.99x = 119,055,760.10
  5. Step 5: Solve for x
    x = 119,055,760.10/10,706.99
  6. Step 6: Final answer
    x = 11,119.45

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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.