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Finding the Fourth Proportional to 6,970.38, 10,441.89 and 4,042.53

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Solution

The fourth proportional to 6,970.38, 10,441.89 and 4,042.53 is: 6,055.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.38 : 10,441.89 = 4,042.53 : x
  2. Step 2: Convert to fraction form
    6,970.38/10,441.89 = 4,042.53/x
  3. Step 3: Cross multiply
    6,970.38x = 10,441.89 × 4,042.53
  4. Step 4: Simplify right side
    6,970.38x = 42,211,653.58
  5. Step 5: Solve for x
    x = 42,211,653.58/6,970.38
  6. Step 6: Final answer
    x = 6,055.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.