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Finding the Fourth Proportional to 10,776.68, 16,137.32 and 6,089.70

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Solution

The fourth proportional to 10,776.68, 16,137.32 and 6,089.70 is: 9,118.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,776.68 : 16,137.32 = 6,089.70 : x
  2. Step 2: Convert to fraction form
    10,776.68/16,137.32 = 6,089.70/x
  3. Step 3: Cross multiply
    10,776.68x = 16,137.32 × 6,089.70
  4. Step 4: Simplify right side
    10,776.68x = 98,271,437.60
  5. Step 5: Solve for x
    x = 98,271,437.60/10,776.68
  6. Step 6: Final answer
    x = 9,118.90

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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.