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Finding the Fourth Proportional to 10,581.78, 14,602.84 and 6,105.46

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Solution

The fourth proportional to 10,581.78, 14,602.84 and 6,105.46 is: 8,425.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,581.78 : 14,602.84 = 6,105.46 : x
  2. Step 2: Convert to fraction form
    10,581.78/14,602.84 = 6,105.46/x
  3. Step 3: Cross multiply
    10,581.78x = 14,602.84 × 6,105.46
  4. Step 4: Simplify right side
    10,581.78x = 89,157,055.51
  5. Step 5: Solve for x
    x = 89,157,055.51/10,581.78
  6. Step 6: Final answer
    x = 8,425.53

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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.