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Finding the Fourth Proportional to 10,536.63, 14,607.12 and 9,974.84

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Solution

The fourth proportional to 10,536.63, 14,607.12 and 9,974.84 is: 13,828.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,536.63 : 14,607.12 = 9,974.84 : x
  2. Step 2: Convert to fraction form
    10,536.63/14,607.12 = 9,974.84/x
  3. Step 3: Cross multiply
    10,536.63x = 14,607.12 × 9,974.84
  4. Step 4: Simplify right side
    10,536.63x = 145,703,611.83
  5. Step 5: Solve for x
    x = 145,703,611.83/10,536.63
  6. Step 6: Final answer
    x = 13,828.29

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.