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Finding the Fourth Proportional to 10,407.49, 14,361.91 and 5,931.43

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Solution

The fourth proportional to 10,407.49, 14,361.91 and 5,931.43 is: 8,185.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.49 : 14,361.91 = 5,931.43 : x
  2. Step 2: Convert to fraction form
    10,407.49/14,361.91 = 5,931.43/x
  3. Step 3: Cross multiply
    10,407.49x = 14,361.91 × 5,931.43
  4. Step 4: Simplify right side
    10,407.49x = 85,186,613.10
  5. Step 5: Solve for x
    x = 85,186,613.10/10,407.49
  6. Step 6: Final answer
    x = 8,185.13

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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.