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Finding the Fourth Proportional to 7,130.76, 10,696.17 and 2,968.17

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Solution

The fourth proportional to 7,130.76, 10,696.17 and 2,968.17 is: 4,452.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.76 : 10,696.17 = 2,968.17 : x
  2. Step 2: Convert to fraction form
    7,130.76/10,696.17 = 2,968.17/x
  3. Step 3: Cross multiply
    7,130.76x = 10,696.17 × 2,968.17
  4. Step 4: Simplify right side
    7,130.76x = 31,748,050.91
  5. Step 5: Solve for x
    x = 31,748,050.91/7,130.76
  6. Step 6: Final answer
    x = 4,452.27

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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.