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Finding the Fourth Proportional to 7,106.29, 10,640.08 and 5,133.94

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Solution

The fourth proportional to 7,106.29, 10,640.08 and 5,133.94 is: 7,686.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.29 : 10,640.08 = 5,133.94 : x
  2. Step 2: Convert to fraction form
    7,106.29/10,640.08 = 5,133.94/x
  3. Step 3: Cross multiply
    7,106.29x = 10,640.08 × 5,133.94
  4. Step 4: Simplify right side
    7,106.29x = 54,625,532.32
  5. Step 5: Solve for x
    x = 54,625,532.32/7,106.29
  6. Step 6: Final answer
    x = 7,686.93

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