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Finding the Fourth Proportional to 7,802.89, 10,767.93 and 4,266.04

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Solution

The fourth proportional to 7,802.89, 10,767.93 and 4,266.04 is: 5,887.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.89 : 10,767.93 = 4,266.04 : x
  2. Step 2: Convert to fraction form
    7,802.89/10,767.93 = 4,266.04/x
  3. Step 3: Cross multiply
    7,802.89x = 10,767.93 × 4,266.04
  4. Step 4: Simplify right side
    7,802.89x = 45,936,420.10
  5. Step 5: Solve for x
    x = 45,936,420.10/7,802.89
  6. Step 6: Final answer
    x = 5,887.10

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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.