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Finding the Fourth Proportional to 12,762.65, 17,612.10 and 7,097.31

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Solution

The fourth proportional to 12,762.65, 17,612.10 and 7,097.31 is: 9,794.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.65 : 17,612.10 = 7,097.31 : x
  2. Step 2: Convert to fraction form
    12,762.65/17,612.10 = 7,097.31/x
  3. Step 3: Cross multiply
    12,762.65x = 17,612.10 × 7,097.31
  4. Step 4: Simplify right side
    12,762.65x = 124,998,533.45
  5. Step 5: Solve for x
    x = 124,998,533.45/12,762.65
  6. Step 6: Final answer
    x = 9,794.09

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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.