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Finding the Fourth Proportional to 10,322.66, 15,477.51 and 6,808.88

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Solution

The fourth proportional to 10,322.66, 15,477.51 and 6,808.88 is: 10,209.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,322.66 : 15,477.51 = 6,808.88 : x
  2. Step 2: Convert to fraction form
    10,322.66/15,477.51 = 6,808.88/x
  3. Step 3: Cross multiply
    10,322.66x = 15,477.51 × 6,808.88
  4. Step 4: Simplify right side
    10,322.66x = 105,384,508.29
  5. Step 5: Solve for x
    x = 105,384,508.29/10,322.66
  6. Step 6: Final answer
    x = 10,209.05

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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.