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Finding the Fourth Proportional to 10,712.93, 16,069.59 and 4,472.96

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Solution

The fourth proportional to 10,712.93, 16,069.59 and 4,472.96 is: 6,709.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712.93 : 16,069.59 = 4,472.96 : x
  2. Step 2: Convert to fraction form
    10,712.93/16,069.59 = 4,472.96/x
  3. Step 3: Cross multiply
    10,712.93x = 16,069.59 × 4,472.96
  4. Step 4: Simplify right side
    10,712.93x = 71,878,552.94
  5. Step 5: Solve for x
    x = 71,878,552.94/10,712.93
  6. Step 6: Final answer
    x = 6,709.52

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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.