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Finding the Fourth Proportional to 10,546.78, 14,555.18 and 6,070.42

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Solution

The fourth proportional to 10,546.78, 14,555.18 and 6,070.42 is: 8,377.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,546.78 : 14,555.18 = 6,070.42 : x
  2. Step 2: Convert to fraction form
    10,546.78/14,555.18 = 6,070.42/x
  3. Step 3: Cross multiply
    10,546.78x = 14,555.18 × 6,070.42
  4. Step 4: Simplify right side
    10,546.78x = 88,356,055.78
  5. Step 5: Solve for x
    x = 88,356,055.78/10,546.78
  6. Step 6: Final answer
    x = 8,377.54

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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.