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Finding the Fourth Proportional to 8,515.58, 11,746.22 and 4,977.50

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Solution

The fourth proportional to 8,515.58, 11,746.22 and 4,977.50 is: 6,865.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,515.58 : 11,746.22 = 4,977.50 : x
  2. Step 2: Convert to fraction form
    8,515.58/11,746.22 = 4,977.50/x
  3. Step 3: Cross multiply
    8,515.58x = 11,746.22 × 4,977.50
  4. Step 4: Simplify right side
    8,515.58x = 58,466,810.05
  5. Step 5: Solve for x
    x = 58,466,810.05/8,515.58
  6. Step 6: Final answer
    x = 6,865.86

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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.