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Finding the Fourth Proportional to 10,596.06, 15,894.09 and 5,650.72

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Solution

The fourth proportional to 10,596.06, 15,894.09 and 5,650.72 is: 8,476.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.06 : 15,894.09 = 5,650.72 : x
  2. Step 2: Convert to fraction form
    10,596.06/15,894.09 = 5,650.72/x
  3. Step 3: Cross multiply
    10,596.06x = 15,894.09 × 5,650.72
  4. Step 4: Simplify right side
    10,596.06x = 89,813,012.51
  5. Step 5: Solve for x
    x = 89,813,012.51/10,596.06
  6. Step 6: Final answer
    x = 8,476.08

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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.