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Finding the Fourth Proportional to 7,078.18, 9,768.98 and 5,095.30

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Solution

The fourth proportional to 7,078.18, 9,768.98 and 5,095.30 is: 7,032.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.18 : 9,768.98 = 5,095.30 : x
  2. Step 2: Convert to fraction form
    7,078.18/9,768.98 = 5,095.30/x
  3. Step 3: Cross multiply
    7,078.18x = 9,768.98 × 5,095.30
  4. Step 4: Simplify right side
    7,078.18x = 49,775,883.79
  5. Step 5: Solve for x
    x = 49,775,883.79/7,078.18
  6. Step 6: Final answer
    x = 7,032.30

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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.