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Finding the Fourth Proportional to 10,372.99, 14,315.94 and 5,897.41

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Solution

The fourth proportional to 10,372.99, 14,315.94 and 5,897.41 is: 8,139.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,372.99 : 14,315.94 = 5,897.41 : x
  2. Step 2: Convert to fraction form
    10,372.99/14,315.94 = 5,897.41/x
  3. Step 3: Cross multiply
    10,372.99x = 14,315.94 × 5,897.41
  4. Step 4: Simplify right side
    10,372.99x = 84,427,001.40
  5. Step 5: Solve for x
    x = 84,427,001.40/10,372.99
  6. Step 6: Final answer
    x = 8,139.12

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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.