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Finding the Fourth Proportional to 7,756.13, 10,700.83 and 5,106.22

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Solution

The fourth proportional to 7,756.13, 10,700.83 and 5,106.22 is: 7,044.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.13 : 10,700.83 = 5,106.22 : x
  2. Step 2: Convert to fraction form
    7,756.13/10,700.83 = 5,106.22/x
  3. Step 3: Cross multiply
    7,756.13x = 10,700.83 × 5,106.22
  4. Step 4: Simplify right side
    7,756.13x = 54,640,792.16
  5. Step 5: Solve for x
    x = 54,640,792.16/7,756.13
  6. Step 6: Final answer
    x = 7,044.85

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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.