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Finding the Fourth Proportional to 12,582.15, 17,362.26 and 6,916.47

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Solution

The fourth proportional to 12,582.15, 17,362.26 and 6,916.47 is: 9,544.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582.15 : 17,362.26 = 6,916.47 : x
  2. Step 2: Convert to fraction form
    12,582.15/17,362.26 = 6,916.47/x
  3. Step 3: Cross multiply
    12,582.15x = 17,362.26 × 6,916.47
  4. Step 4: Simplify right side
    12,582.15x = 120,085,550.42
  5. Step 5: Solve for x
    x = 120,085,550.42/12,582.15
  6. Step 6: Final answer
    x = 9,544.12

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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.