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Finding the Fourth Proportional to 10,732.77, 14,817.06 and 6,484.59

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Solution

The fourth proportional to 10,732.77, 14,817.06 and 6,484.59 is: 8,952.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,732.77 : 14,817.06 = 6,484.59 : x
  2. Step 2: Convert to fraction form
    10,732.77/14,817.06 = 6,484.59/x
  3. Step 3: Cross multiply
    10,732.77x = 14,817.06 × 6,484.59
  4. Step 4: Simplify right side
    10,732.77x = 96,082,559.11
  5. Step 5: Solve for x
    x = 96,082,559.11/10,732.77
  6. Step 6: Final answer
    x = 8,952.26

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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.