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Finding the Fourth Proportional to 6,802.69, 10,202.97 and 3,053.70

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Solution

The fourth proportional to 6,802.69, 10,202.97 and 3,053.70 is: 4,580.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.69 : 10,202.97 = 3,053.70 : x
  2. Step 2: Convert to fraction form
    6,802.69/10,202.97 = 3,053.70/x
  3. Step 3: Cross multiply
    6,802.69x = 10,202.97 × 3,053.70
  4. Step 4: Simplify right side
    6,802.69x = 31,156,803.76
  5. Step 5: Solve for x
    x = 31,156,803.76/6,802.69
  6. Step 6: Final answer
    x = 4,580.07

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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.