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Finding the Fourth Proportional to 7,710.08, 11,509.32 and 6,775.92

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Solution

The fourth proportional to 7,710.08, 11,509.32 and 6,775.92 is: 10,114.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.08 : 11,509.32 = 6,775.92 : x
  2. Step 2: Convert to fraction form
    7,710.08/11,509.32 = 6,775.92/x
  3. Step 3: Cross multiply
    7,710.08x = 11,509.32 × 6,775.92
  4. Step 4: Simplify right side
    7,710.08x = 77,986,231.57
  5. Step 5: Solve for x
    x = 77,986,231.57/7,710.08
  6. Step 6: Final answer
    x = 10,114.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.