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Finding the Fourth Proportional to 13,097.65, 18,075.11 and 8,064.83

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Solution

The fourth proportional to 13,097.65, 18,075.11 and 8,064.83 is: 11,129.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.65 : 18,075.11 = 8,064.83 : x
  2. Step 2: Convert to fraction form
    13,097.65/18,075.11 = 8,064.83/x
  3. Step 3: Cross multiply
    13,097.65x = 18,075.11 × 8,064.83
  4. Step 4: Simplify right side
    13,097.65x = 145,772,689.38
  5. Step 5: Solve for x
    x = 145,772,689.38/13,097.65
  6. Step 6: Final answer
    x = 11,129.68

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Why These Related Problems?

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