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Finding the Fourth Proportional to 7,807.59, 10,774.52 and 4,270.82

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Solution

The fourth proportional to 7,807.59, 10,774.52 and 4,270.82 is: 5,893.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.59 : 10,774.52 = 4,270.82 : x
  2. Step 2: Convert to fraction form
    7,807.59/10,774.52 = 4,270.82/x
  3. Step 3: Cross multiply
    7,807.59x = 10,774.52 × 4,270.82
  4. Step 4: Simplify right side
    7,807.59x = 46,015,960.28
  5. Step 5: Solve for x
    x = 46,015,960.28/7,807.59
  6. Step 6: Final answer
    x = 5,893.75

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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.