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Finding the Fourth Proportional to 7,802.76, 10,767.83 and 4,817.91

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Solution

The fourth proportional to 7,802.76, 10,767.83 and 4,817.91 is: 6,648.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.76 : 10,767.83 = 4,817.91 : x
  2. Step 2: Convert to fraction form
    7,802.76/10,767.83 = 4,817.91/x
  3. Step 3: Cross multiply
    7,802.76x = 10,767.83 × 4,817.91
  4. Step 4: Simplify right side
    7,802.76x = 51,878,411.75
  5. Step 5: Solve for x
    x = 51,878,411.75/7,802.76
  6. Step 6: Final answer
    x = 6,648.73

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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.