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Finding the Fourth Proportional to 10,417.41, 14,373.18 and 5,939.53

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Solution

The fourth proportional to 10,417.41, 14,373.18 and 5,939.53 is: 8,194.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,417.41 : 14,373.18 = 5,939.53 : x
  2. Step 2: Convert to fraction form
    10,417.41/14,373.18 = 5,939.53/x
  3. Step 3: Cross multiply
    10,417.41x = 14,373.18 × 5,939.53
  4. Step 4: Simplify right side
    10,417.41x = 85,369,897.87
  5. Step 5: Solve for x
    x = 85,369,897.87/10,417.41
  6. Step 6: Final answer
    x = 8,194.93

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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.