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Finding the Fourth Proportional to 10,472.88, 14,453.40 and 5,998.04

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Solution

The fourth proportional to 10,472.88, 14,453.40 and 5,998.04 is: 8,277.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.88 : 14,453.40 = 5,998.04 : x
  2. Step 2: Convert to fraction form
    10,472.88/14,453.40 = 5,998.04/x
  3. Step 3: Cross multiply
    10,472.88x = 14,453.40 × 5,998.04
  4. Step 4: Simplify right side
    10,472.88x = 86,692,071.34
  5. Step 5: Solve for x
    x = 86,692,071.34/10,472.88
  6. Step 6: Final answer
    x = 8,277.77

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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.