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Finding the Fourth Proportional to 10,154.46, 14,005.44 and 8,740.56

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Solution

The fourth proportional to 10,154.46, 14,005.44 and 8,740.56 is: 12,055.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,154.46 : 14,005.44 = 8,740.56 : x
  2. Step 2: Convert to fraction form
    10,154.46/14,005.44 = 8,740.56/x
  3. Step 3: Cross multiply
    10,154.46x = 14,005.44 × 8,740.56
  4. Step 4: Simplify right side
    10,154.46x = 122,415,388.65
  5. Step 5: Solve for x
    x = 122,415,388.65/10,154.46
  6. Step 6: Final answer
    x = 12,055.33

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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.