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Finding the Fourth Proportional to 10,185.66, 15,305.82 and 8,899.87

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Solution

The fourth proportional to 10,185.66, 15,305.82 and 8,899.87 is: 13,373.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,185.66 : 15,305.82 = 8,899.87 : x
  2. Step 2: Convert to fraction form
    10,185.66/15,305.82 = 8,899.87/x
  3. Step 3: Cross multiply
    10,185.66x = 15,305.82 × 8,899.87
  4. Step 4: Simplify right side
    10,185.66x = 136,219,808.24
  5. Step 5: Solve for x
    x = 136,219,808.24/10,185.66
  6. Step 6: Final answer
    x = 13,373.68

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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.