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Finding the Fourth Proportional to 7,078.44, 10,658.81 and 5,242.58

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Solution

The fourth proportional to 7,078.44, 10,658.81 and 5,242.58 is: 7,894.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.44 : 10,658.81 = 5,242.58 : x
  2. Step 2: Convert to fraction form
    7,078.44/10,658.81 = 5,242.58/x
  3. Step 3: Cross multiply
    7,078.44x = 10,658.81 × 5,242.58
  4. Step 4: Simplify right side
    7,078.44x = 55,879,664.13
  5. Step 5: Solve for x
    x = 55,879,664.13/7,078.44
  6. Step 6: Final answer
    x = 7,894.35

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.