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Finding the Fourth Proportional to 8,533.70, 12,800.95 and 2,690.76

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Solution

The fourth proportional to 8,533.70, 12,800.95 and 2,690.76 is: 4,036.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.70 : 12,800.95 = 2,690.76 : x
  2. Step 2: Convert to fraction form
    8,533.70/12,800.95 = 2,690.76/x
  3. Step 3: Cross multiply
    8,533.70x = 12,800.95 × 2,690.76
  4. Step 4: Simplify right side
    8,533.70x = 34,444,284.22
  5. Step 5: Solve for x
    x = 34,444,284.22/8,533.70
  6. Step 6: Final answer
    x = 4,036.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.