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Finding the Fourth Proportional to 7,800.47, 10,767.20 and 6,210.03

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Solution

The fourth proportional to 7,800.47, 10,767.20 and 6,210.03 is: 8,571.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.47 : 10,767.20 = 6,210.03 : x
  2. Step 2: Convert to fraction form
    7,800.47/10,767.20 = 6,210.03/x
  3. Step 3: Cross multiply
    7,800.47x = 10,767.20 × 6,210.03
  4. Step 4: Simplify right side
    7,800.47x = 66,864,603.97
  5. Step 5: Solve for x
    x = 66,864,603.97/7,800.47
  6. Step 6: Final answer
    x = 8,571.87

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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.