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Finding the Fourth Proportional to 10,377.53, 14,315.96 and 7,021.49

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Solution

The fourth proportional to 10,377.53, 14,315.96 and 7,021.49 is: 9,686.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,377.53 : 14,315.96 = 7,021.49 : x
  2. Step 2: Convert to fraction form
    10,377.53/14,315.96 = 7,021.49/x
  3. Step 3: Cross multiply
    10,377.53x = 14,315.96 × 7,021.49
  4. Step 4: Simplify right side
    10,377.53x = 100,519,334.87
  5. Step 5: Solve for x
    x = 100,519,334.87/10,377.53
  6. Step 6: Final answer
    x = 9,686.25

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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.