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Finding the Fourth Proportional to 11,569.26, 17,353.92 and 2,804.16

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Solution

The fourth proportional to 11,569.26, 17,353.92 and 2,804.16 is: 4,206.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,569.26 : 17,353.92 = 2,804.16 : x
  2. Step 2: Convert to fraction form
    11,569.26/17,353.92 = 2,804.16/x
  3. Step 3: Cross multiply
    11,569.26x = 17,353.92 × 2,804.16
  4. Step 4: Simplify right side
    11,569.26x = 48,663,168.31
  5. Step 5: Solve for x
    x = 48,663,168.31/11,569.26
  6. Step 6: Final answer
    x = 4,206.25

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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.