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Finding the Fourth Proportional to 8,866.87, 12,235.80 and 5,509.63

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Solution

The fourth proportional to 8,866.87, 12,235.80 and 5,509.63 is: 7,602.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,866.87 : 12,235.80 = 5,509.63 : x
  2. Step 2: Convert to fraction form
    8,866.87/12,235.80 = 5,509.63/x
  3. Step 3: Cross multiply
    8,866.87x = 12,235.80 × 5,509.63
  4. Step 4: Simplify right side
    8,866.87x = 67,414,730.75
  5. Step 5: Solve for x
    x = 67,414,730.75/8,866.87
  6. Step 6: Final answer
    x = 7,602.99

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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.