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Finding the Fourth Proportional to 7,078.53, 9,768.88 and 4,246.03

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Solution

The fourth proportional to 7,078.53, 9,768.88 and 4,246.03 is: 5,859.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.53 : 9,768.88 = 4,246.03 : x
  2. Step 2: Convert to fraction form
    7,078.53/9,768.88 = 4,246.03/x
  3. Step 3: Cross multiply
    7,078.53x = 9,768.88 × 4,246.03
  4. Step 4: Simplify right side
    7,078.53x = 41,478,941.91
  5. Step 5: Solve for x
    x = 41,478,941.91/7,078.53
  6. Step 6: Final answer
    x = 5,859.82

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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.