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Finding the Fourth Proportional to 10,145.18, 13,996.18 and 6,165.65

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Solution

The fourth proportional to 10,145.18, 13,996.18 and 6,165.65 is: 8,506.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,145.18 : 13,996.18 = 6,165.65 : x
  2. Step 2: Convert to fraction form
    10,145.18/13,996.18 = 6,165.65/x
  3. Step 3: Cross multiply
    10,145.18x = 13,996.18 × 6,165.65
  4. Step 4: Simplify right side
    10,145.18x = 86,295,547.22
  5. Step 5: Solve for x
    x = 86,295,547.22/10,145.18
  6. Step 6: Final answer
    x = 8,506.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.