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Finding the Fourth Proportional to 10,773.76, 16,157.76 and 4,927.36

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Solution

The fourth proportional to 10,773.76, 16,157.76 and 4,927.36 is: 7,389.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,773.76 : 16,157.76 = 4,927.36 : x
  2. Step 2: Convert to fraction form
    10,773.76/16,157.76 = 4,927.36/x
  3. Step 3: Cross multiply
    10,773.76x = 16,157.76 × 4,927.36
  4. Step 4: Simplify right side
    10,773.76x = 79,615,100.31
  5. Step 5: Solve for x
    x = 79,615,100.31/10,773.76
  6. Step 6: Final answer
    x = 7,389.72

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Why These Related Problems?

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