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Finding the Fourth Proportional to 8,652.12, 11,938.14 and 5,507.16

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Solution

The fourth proportional to 8,652.12, 11,938.14 and 5,507.16 is: 7,598.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,652.12 : 11,938.14 = 5,507.16 : x
  2. Step 2: Convert to fraction form
    8,652.12/11,938.14 = 5,507.16/x
  3. Step 3: Cross multiply
    8,652.12x = 11,938.14 × 5,507.16
  4. Step 4: Simplify right side
    8,652.12x = 65,745,247.08
  5. Step 5: Solve for x
    x = 65,745,247.08/8,652.12
  6. Step 6: Final answer
    x = 7,598.74

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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.