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Finding the Fourth Proportional to 7,357.78, 10,142.77 and 5,370.58

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Solution

The fourth proportional to 7,357.78, 10,142.77 and 5,370.58 is: 7,403.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,357.78 : 10,142.77 = 5,370.58 : x
  2. Step 2: Convert to fraction form
    7,357.78/10,142.77 = 5,370.58/x
  3. Step 3: Cross multiply
    7,357.78x = 10,142.77 × 5,370.58
  4. Step 4: Simplify right side
    7,357.78x = 54,472,557.71
  5. Step 5: Solve for x
    x = 54,472,557.71/7,357.78
  6. Step 6: Final answer
    x = 7,403.40

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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.