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Finding the Fourth Proportional to 10,632.57, 14,670.83 and 5,915.94

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Solution

The fourth proportional to 10,632.57, 14,670.83 and 5,915.94 is: 8,162.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,632.57 : 14,670.83 = 5,915.94 : x
  2. Step 2: Convert to fraction form
    10,632.57/14,670.83 = 5,915.94/x
  3. Step 3: Cross multiply
    10,632.57x = 14,670.83 × 5,915.94
  4. Step 4: Simplify right side
    10,632.57x = 86,791,764.82
  5. Step 5: Solve for x
    x = 86,791,764.82/10,632.57
  6. Step 6: Final answer
    x = 8,162.82

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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.