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Finding the Fourth Proportional to 10,971.84, 16,453.44 and 4,044

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Solution

The fourth proportional to 10,971.84, 16,453.44 and 4,044 is: 6,064.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,971.84 : 16,453.44 = 4,044 : x
  2. Step 2: Convert to fraction form
    10,971.84/16,453.44 = 4,044/x
  3. Step 3: Cross multiply
    10,971.84x = 16,453.44 × 4,044
  4. Step 4: Simplify right side
    10,971.84x = 66,537,711.36
  5. Step 5: Solve for x
    x = 66,537,711.36/10,971.84
  6. Step 6: Final answer
    x = 6,064.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.