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Finding the Fourth Proportional to 8,511.80, 11,746.74 and 4,977.08

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Solution

The fourth proportional to 8,511.80, 11,746.74 and 4,977.08 is: 6,868.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.80 : 11,746.74 = 4,977.08 : x
  2. Step 2: Convert to fraction form
    8,511.80/11,746.74 = 4,977.08/x
  3. Step 3: Cross multiply
    8,511.80x = 11,746.74 × 4,977.08
  4. Step 4: Simplify right side
    8,511.80x = 58,464,464.72
  5. Step 5: Solve for x
    x = 58,464,464.72/8,511.80
  6. Step 6: Final answer
    x = 6,868.64

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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.