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Finding the Fourth Proportional to 7,807.66, 10,774.53 and 4,270.80

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Solution

The fourth proportional to 7,807.66, 10,774.53 and 4,270.80 is: 5,893.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.66 : 10,774.53 = 4,270.80 : x
  2. Step 2: Convert to fraction form
    7,807.66/10,774.53 = 4,270.80/x
  3. Step 3: Cross multiply
    7,807.66x = 10,774.53 × 4,270.80
  4. Step 4: Simplify right side
    7,807.66x = 46,015,862.72
  5. Step 5: Solve for x
    x = 46,015,862.72/7,807.66
  6. Step 6: Final answer
    x = 5,893.68

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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.