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Finding the Fourth Proportional to 10,675.76, 14,732.62 and 5,960.30

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Solution

The fourth proportional to 10,675.76, 14,732.62 and 5,960.30 is: 8,225.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675.76 : 14,732.62 = 5,960.30 : x
  2. Step 2: Convert to fraction form
    10,675.76/14,732.62 = 5,960.30/x
  3. Step 3: Cross multiply
    10,675.76x = 14,732.62 × 5,960.30
  4. Step 4: Simplify right side
    10,675.76x = 87,810,746.42
  5. Step 5: Solve for x
    x = 87,810,746.42/10,675.76
  6. Step 6: Final answer
    x = 8,225.25

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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.