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Finding the Fourth Proportional to 10,772.29, 14,856.84 and 7,596.16

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Solution

The fourth proportional to 10,772.29, 14,856.84 and 7,596.16 is: 10,476.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.29 : 14,856.84 = 7,596.16 : x
  2. Step 2: Convert to fraction form
    10,772.29/14,856.84 = 7,596.16/x
  3. Step 3: Cross multiply
    10,772.29x = 14,856.84 × 7,596.16
  4. Step 4: Simplify right side
    10,772.29x = 112,854,933.73
  5. Step 5: Solve for x
    x = 112,854,933.73/10,772.29
  6. Step 6: Final answer
    x = 10,476.41

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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.