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Finding the Fourth Proportional to 6,508.08, 8,977.50 and 4,146.12

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Solution

The fourth proportional to 6,508.08, 8,977.50 and 4,146.12 is: 5,719.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.08 : 8,977.50 = 4,146.12 : x
  2. Step 2: Convert to fraction form
    6,508.08/8,977.50 = 4,146.12/x
  3. Step 3: Cross multiply
    6,508.08x = 8,977.50 × 4,146.12
  4. Step 4: Simplify right side
    6,508.08x = 37,221,792.30
  5. Step 5: Solve for x
    x = 37,221,792.30/6,508.08
  6. Step 6: Final answer
    x = 5,719.32

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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.