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Finding the Fourth Proportional to 10,264.76, 14,169 and 6,073

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Solution

The fourth proportional to 10,264.76, 14,169 and 6,073 is: 8,382.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,264.76 : 14,169 = 6,073 : x
  2. Step 2: Convert to fraction form
    10,264.76/14,169 = 6,073/x
  3. Step 3: Cross multiply
    10,264.76x = 14,169 × 6,073
  4. Step 4: Simplify right side
    10,264.76x = 86,048,337
  5. Step 5: Solve for x
    x = 86,048,337/10,264.76
  6. Step 6: Final answer
    x = 8,382.89

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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.