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Finding the Fourth Proportional to 7,283.91, 10,051.82 and 4,140.71

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Solution

The fourth proportional to 7,283.91, 10,051.82 and 4,140.71 is: 5,714.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,283.91 : 10,051.82 = 4,140.71 : x
  2. Step 2: Convert to fraction form
    7,283.91/10,051.82 = 4,140.71/x
  3. Step 3: Cross multiply
    7,283.91x = 10,051.82 × 4,140.71
  4. Step 4: Simplify right side
    7,283.91x = 41,621,600.63
  5. Step 5: Solve for x
    x = 41,621,600.63/7,283.91
  6. Step 6: Final answer
    x = 5,714.18

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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.