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Finding the Fourth Proportional to 10,703.84, 14,776.36 and 8,052.26

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Solution

The fourth proportional to 10,703.84, 14,776.36 and 8,052.26 is: 11,115.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.84 : 14,776.36 = 8,052.26 : x
  2. Step 2: Convert to fraction form
    10,703.84/14,776.36 = 8,052.26/x
  3. Step 3: Cross multiply
    10,703.84x = 14,776.36 × 8,052.26
  4. Step 4: Simplify right side
    10,703.84x = 118,983,092.57
  5. Step 5: Solve for x
    x = 118,983,092.57/10,703.84
  6. Step 6: Final answer
    x = 11,115.93

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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.