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Finding the Fourth Proportional to 11,340.96, 17,009.64 and 5,798.40

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Solution

The fourth proportional to 11,340.96, 17,009.64 and 5,798.40 is: 8,696.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,340.96 : 17,009.64 = 5,798.40 : x
  2. Step 2: Convert to fraction form
    11,340.96/17,009.64 = 5,798.40/x
  3. Step 3: Cross multiply
    11,340.96x = 17,009.64 × 5,798.40
  4. Step 4: Simplify right side
    11,340.96x = 98,628,696.58
  5. Step 5: Solve for x
    x = 98,628,696.58/11,340.96
  6. Step 6: Final answer
    x = 8,696.68

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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.