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Finding the Fourth Proportional to 11,916.32, 17,870.22 and 4,522.77

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Solution

The fourth proportional to 11,916.32, 17,870.22 and 4,522.77 is: 6,782.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,916.32 : 17,870.22 = 4,522.77 : x
  2. Step 2: Convert to fraction form
    11,916.32/17,870.22 = 4,522.77/x
  3. Step 3: Cross multiply
    11,916.32x = 17,870.22 × 4,522.77
  4. Step 4: Simplify right side
    11,916.32x = 80,822,894.91
  5. Step 5: Solve for x
    x = 80,822,894.91/11,916.32
  6. Step 6: Final answer
    x = 6,782.54

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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.