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Finding the Fourth Proportional to 10,507.92, 14,496.33 and 7,522.66

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Solution

The fourth proportional to 10,507.92, 14,496.33 and 7,522.66 is: 10,377.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.92 : 14,496.33 = 7,522.66 : x
  2. Step 2: Convert to fraction form
    10,507.92/14,496.33 = 7,522.66/x
  3. Step 3: Cross multiply
    10,507.92x = 14,496.33 × 7,522.66
  4. Step 4: Simplify right side
    10,507.92x = 109,050,961.84
  5. Step 5: Solve for x
    x = 109,050,961.84/10,507.92
  6. Step 6: Final answer
    x = 10,377.98

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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.