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Finding the Fourth Proportional to 10,285.46, 14,188.71 and 6,033.74

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Solution

The fourth proportional to 10,285.46, 14,188.71 and 6,033.74 is: 8,323.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.46 : 14,188.71 = 6,033.74 : x
  2. Step 2: Convert to fraction form
    10,285.46/14,188.71 = 6,033.74/x
  3. Step 3: Cross multiply
    10,285.46x = 14,188.71 × 6,033.74
  4. Step 4: Simplify right side
    10,285.46x = 85,610,987.08
  5. Step 5: Solve for x
    x = 85,610,987.08/10,285.46
  6. Step 6: Final answer
    x = 8,323.50

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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.