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Finding the Fourth Proportional to 10,099.32, 15,116.13 and 8,699.64

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Solution

The fourth proportional to 10,099.32, 15,116.13 and 8,699.64 is: 13,021.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.32 : 15,116.13 = 8,699.64 : x
  2. Step 2: Convert to fraction form
    10,099.32/15,116.13 = 8,699.64/x
  3. Step 3: Cross multiply
    10,099.32x = 15,116.13 × 8,699.64
  4. Step 4: Simplify right side
    10,099.32x = 131,504,889.19
  5. Step 5: Solve for x
    x = 131,504,889.19/10,099.32
  6. Step 6: Final answer
    x = 13,021.16

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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.