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Finding the Fourth Proportional to 7,809.02, 11,710.90 and 2,260.52

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Solution

The fourth proportional to 7,809.02, 11,710.90 and 2,260.52 is: 3,390.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.02 : 11,710.90 = 2,260.52 : x
  2. Step 2: Convert to fraction form
    7,809.02/11,710.90 = 2,260.52/x
  3. Step 3: Cross multiply
    7,809.02x = 11,710.90 × 2,260.52
  4. Step 4: Simplify right side
    7,809.02x = 26,472,723.67
  5. Step 5: Solve for x
    x = 26,472,723.67/7,809.02
  6. Step 6: Final answer
    x = 3,390.02

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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.