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Finding the Fourth Proportional to 8,140.11, 11,235.57 and 4,784.01

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Solution

The fourth proportional to 8,140.11, 11,235.57 and 4,784.01 is: 6,603.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.11 : 11,235.57 = 4,784.01 : x
  2. Step 2: Convert to fraction form
    8,140.11/11,235.57 = 4,784.01/x
  3. Step 3: Cross multiply
    8,140.11x = 11,235.57 × 4,784.01
  4. Step 4: Simplify right side
    8,140.11x = 53,751,023.06
  5. Step 5: Solve for x
    x = 53,751,023.06/8,140.11
  6. Step 6: Final answer
    x = 6,603.23

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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.