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Finding the Fourth Proportional to 10,462.61, 14,438.04 and 7,483.43

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Solution

The fourth proportional to 10,462.61, 14,438.04 and 7,483.43 is: 10,326.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.61 : 14,438.04 = 7,483.43 : x
  2. Step 2: Convert to fraction form
    10,462.61/14,438.04 = 7,483.43/x
  3. Step 3: Cross multiply
    10,462.61x = 14,438.04 × 7,483.43
  4. Step 4: Simplify right side
    10,462.61x = 108,045,989.49
  5. Step 5: Solve for x
    x = 108,045,989.49/10,462.61
  6. Step 6: Final answer
    x = 10,326.87

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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.