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Finding the Fourth Proportional to 7,720.08, 11,580.12 and 3,102

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Solution

The fourth proportional to 7,720.08, 11,580.12 and 3,102 is: 4,653

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.08 : 11,580.12 = 3,102 : x
  2. Step 2: Convert to fraction form
    7,720.08/11,580.12 = 3,102/x
  3. Step 3: Cross multiply
    7,720.08x = 11,580.12 × 3,102
  4. Step 4: Simplify right side
    7,720.08x = 35,921,532.24
  5. Step 5: Solve for x
    x = 35,921,532.24/7,720.08
  6. Step 6: Final answer
    x = 4,653

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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.