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Finding the Fourth Proportional to 7,807.25, 10,774.01 and 4,270.46

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Solution

The fourth proportional to 7,807.25, 10,774.01 and 4,270.46 is: 5,893.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.25 : 10,774.01 = 4,270.46 : x
  2. Step 2: Convert to fraction form
    7,807.25/10,774.01 = 4,270.46/x
  3. Step 3: Cross multiply
    7,807.25x = 10,774.01 × 4,270.46
  4. Step 4: Simplify right side
    7,807.25x = 46,009,935.55
  5. Step 5: Solve for x
    x = 46,009,935.55/7,807.25
  6. Step 6: Final answer
    x = 5,893.23

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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.