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Finding the Fourth Proportional to 7,078.57, 9,765.70 and 4,560.49

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Solution

The fourth proportional to 7,078.57, 9,765.70 and 4,560.49 is: 6,291.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.57 : 9,765.70 = 4,560.49 : x
  2. Step 2: Convert to fraction form
    7,078.57/9,765.70 = 4,560.49/x
  3. Step 3: Cross multiply
    7,078.57x = 9,765.70 × 4,560.49
  4. Step 4: Simplify right side
    7,078.57x = 44,536,377.19
  5. Step 5: Solve for x
    x = 44,536,377.19/7,078.57
  6. Step 6: Final answer
    x = 6,291.72

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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.