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Finding the Fourth Proportional to 10,421.53, 14,376.33 and 7,063.20

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Solution

The fourth proportional to 10,421.53, 14,376.33 and 7,063.20 is: 9,743.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,421.53 : 14,376.33 = 7,063.20 : x
  2. Step 2: Convert to fraction form
    10,421.53/14,376.33 = 7,063.20/x
  3. Step 3: Cross multiply
    10,421.53x = 14,376.33 × 7,063.20
  4. Step 4: Simplify right side
    10,421.53x = 101,542,822.17
  5. Step 5: Solve for x
    x = 101,542,822.17/10,421.53
  6. Step 6: Final answer
    x = 9,743.56

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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.