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Finding the Fourth Proportional to 10,808.64, 16,206.72 and 4,145.76

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Solution

The fourth proportional to 10,808.64, 16,206.72 and 4,145.76 is: 6,216.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,808.64 : 16,206.72 = 4,145.76 : x
  2. Step 2: Convert to fraction form
    10,808.64/16,206.72 = 4,145.76/x
  3. Step 3: Cross multiply
    10,808.64x = 16,206.72 × 4,145.76
  4. Step 4: Simplify right side
    10,808.64x = 67,189,171.51
  5. Step 5: Solve for x
    x = 67,189,171.51/10,808.64
  6. Step 6: Final answer
    x = 6,216.25

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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.