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Finding the Fourth Proportional to 10,647.42, 14,693.61 and 5,931.71

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Solution

The fourth proportional to 10,647.42, 14,693.61 and 5,931.71 is: 8,185.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.42 : 14,693.61 = 5,931.71 : x
  2. Step 2: Convert to fraction form
    10,647.42/14,693.61 = 5,931.71/x
  3. Step 3: Cross multiply
    10,647.42x = 14,693.61 × 5,931.71
  4. Step 4: Simplify right side
    10,647.42x = 87,158,233.37
  5. Step 5: Solve for x
    x = 87,158,233.37/10,647.42
  6. Step 6: Final answer
    x = 8,185.85

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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.