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Finding the Fourth Proportional to 8,765.02, 12,096.64 and 5,181.14

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Solution

The fourth proportional to 8,765.02, 12,096.64 and 5,181.14 is: 7,150.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,765.02 : 12,096.64 = 5,181.14 : x
  2. Step 2: Convert to fraction form
    8,765.02/12,096.64 = 5,181.14/x
  3. Step 3: Cross multiply
    8,765.02x = 12,096.64 × 5,181.14
  4. Step 4: Simplify right side
    8,765.02x = 62,674,422.09
  5. Step 5: Solve for x
    x = 62,674,422.09/8,765.02
  6. Step 6: Final answer
    x = 7,150.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.