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Finding the Fourth Proportional to 7,696.76, 11,547.42 and 3,254.86

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Solution

The fourth proportional to 7,696.76, 11,547.42 and 3,254.86 is: 4,883.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.76 : 11,547.42 = 3,254.86 : x
  2. Step 2: Convert to fraction form
    7,696.76/11,547.42 = 3,254.86/x
  3. Step 3: Cross multiply
    7,696.76x = 11,547.42 × 3,254.86
  4. Step 4: Simplify right side
    7,696.76x = 37,585,235.46
  5. Step 5: Solve for x
    x = 37,585,235.46/7,696.76
  6. Step 6: Final answer
    x = 4,883.25

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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.