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Finding the Fourth Proportional to 11,594.29, 17,368.24 and 5,345.76

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Solution

The fourth proportional to 11,594.29, 17,368.24 and 5,345.76 is: 8,007.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594.29 : 17,368.24 = 5,345.76 : x
  2. Step 2: Convert to fraction form
    11,594.29/17,368.24 = 5,345.76/x
  3. Step 3: Cross multiply
    11,594.29x = 17,368.24 × 5,345.76
  4. Step 4: Simplify right side
    11,594.29x = 92,846,442.66
  5. Step 5: Solve for x
    x = 92,846,442.66/11,594.29
  6. Step 6: Final answer
    x = 8,007.95

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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.