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Finding the Fourth Proportional to 10,472.84, 14,453.88 and 5,997.32

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Solution

The fourth proportional to 10,472.84, 14,453.88 and 5,997.32 is: 8,277.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.84 : 14,453.88 = 5,997.32 : x
  2. Step 2: Convert to fraction form
    10,472.84/14,453.88 = 5,997.32/x
  3. Step 3: Cross multiply
    10,472.84x = 14,453.88 × 5,997.32
  4. Step 4: Simplify right side
    10,472.84x = 86,684,543.60
  5. Step 5: Solve for x
    x = 86,684,543.60/10,472.84
  6. Step 6: Final answer
    x = 8,277.08

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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.