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Finding the Fourth Proportional to 8,635, 12,954.06 and 5,715.72

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Solution

The fourth proportional to 8,635, 12,954.06 and 5,715.72 is: 8,574.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,635 : 12,954.06 = 5,715.72 : x
  2. Step 2: Convert to fraction form
    8,635/12,954.06 = 5,715.72/x
  3. Step 3: Cross multiply
    8,635x = 12,954.06 × 5,715.72
  4. Step 4: Simplify right side
    8,635x = 74,041,779.82
  5. Step 5: Solve for x
    x = 74,041,779.82/8,635
  6. Step 6: Final answer
    x = 8,574.61

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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.