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Finding the Fourth Proportional to 7,746.46, 11,613.53 and 2,815.46

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Solution

The fourth proportional to 7,746.46, 11,613.53 and 2,815.46 is: 4,220.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,746.46 : 11,613.53 = 2,815.46 : x
  2. Step 2: Convert to fraction form
    7,746.46/11,613.53 = 2,815.46/x
  3. Step 3: Cross multiply
    7,746.46x = 11,613.53 × 2,815.46
  4. Step 4: Simplify right side
    7,746.46x = 32,697,378.14
  5. Step 5: Solve for x
    x = 32,697,378.14/7,746.46
  6. Step 6: Final answer
    x = 4,220.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.