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Finding the Fourth Proportional to 6,139.24, 8,477.14 and 5,005.08

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Solution

The fourth proportional to 6,139.24, 8,477.14 and 5,005.08 is: 6,911.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.24 : 8,477.14 = 5,005.08 : x
  2. Step 2: Convert to fraction form
    6,139.24/8,477.14 = 5,005.08/x
  3. Step 3: Cross multiply
    6,139.24x = 8,477.14 × 5,005.08
  4. Step 4: Simplify right side
    6,139.24x = 42,428,763.87
  5. Step 5: Solve for x
    x = 42,428,763.87/6,139.24
  6. Step 6: Final answer
    x = 6,911.08

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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.