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Finding the Fourth Proportional to 11,530.74, 17,296.13 and 3,210.78

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Solution

The fourth proportional to 11,530.74, 17,296.13 and 3,210.78 is: 4,816.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,530.74 : 17,296.13 = 3,210.78 : x
  2. Step 2: Convert to fraction form
    11,530.74/17,296.13 = 3,210.78/x
  3. Step 3: Cross multiply
    11,530.74x = 17,296.13 × 3,210.78
  4. Step 4: Simplify right side
    11,530.74x = 55,534,068.28
  5. Step 5: Solve for x
    x = 55,534,068.28/11,530.74
  6. Step 6: Final answer
    x = 4,816.18

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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.