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Finding the Fourth Proportional to 10,151.58, 14,012.16 and 5,903.64

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Solution

The fourth proportional to 10,151.58, 14,012.16 and 5,903.64 is: 8,148.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,151.58 : 14,012.16 = 5,903.64 : x
  2. Step 2: Convert to fraction form
    10,151.58/14,012.16 = 5,903.64/x
  3. Step 3: Cross multiply
    10,151.58x = 14,012.16 × 5,903.64
  4. Step 4: Simplify right side
    10,151.58x = 82,722,726.12
  5. Step 5: Solve for x
    x = 82,722,726.12/10,151.58
  6. Step 6: Final answer
    x = 8,148.75

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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.