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Finding the Fourth Proportional to 12,762.48, 17,612.27 and 7,097.74

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Solution

The fourth proportional to 12,762.48, 17,612.27 and 7,097.74 is: 9,794.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.48 : 17,612.27 = 7,097.74 : x
  2. Step 2: Convert to fraction form
    12,762.48/17,612.27 = 7,097.74/x
  3. Step 3: Cross multiply
    12,762.48x = 17,612.27 × 7,097.74
  4. Step 4: Simplify right side
    12,762.48x = 125,007,313.27
  5. Step 5: Solve for x
    x = 125,007,313.27/12,762.48
  6. Step 6: Final answer
    x = 9,794.91

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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.