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Finding the Fourth Proportional to 10,336.64, 15,502.16 and 4,491.92

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Solution

The fourth proportional to 10,336.64, 15,502.16 and 4,491.92 is: 6,736.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,336.64 : 15,502.16 = 4,491.92 : x
  2. Step 2: Convert to fraction form
    10,336.64/15,502.16 = 4,491.92/x
  3. Step 3: Cross multiply
    10,336.64x = 15,502.16 × 4,491.92
  4. Step 4: Simplify right side
    10,336.64x = 69,634,462.55
  5. Step 5: Solve for x
    x = 69,634,462.55/10,336.64
  6. Step 6: Final answer
    x = 6,736.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.