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Finding the Fourth Proportional to 10,077.28, 13,907.63 and 5,827.01

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Solution

The fourth proportional to 10,077.28, 13,907.63 and 5,827.01 is: 8,041.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.28 : 13,907.63 = 5,827.01 : x
  2. Step 2: Convert to fraction form
    10,077.28/13,907.63 = 5,827.01/x
  3. Step 3: Cross multiply
    10,077.28x = 13,907.63 × 5,827.01
  4. Step 4: Simplify right side
    10,077.28x = 81,039,844.12
  5. Step 5: Solve for x
    x = 81,039,844.12/10,077.28
  6. Step 6: Final answer
    x = 8,041.84

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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.