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Finding the Fourth Proportional to 7,789.04, 11,686.80 and 4,675.04

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Solution

The fourth proportional to 7,789.04, 11,686.80 and 4,675.04 is: 7,014.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,789.04 : 11,686.80 = 4,675.04 : x
  2. Step 2: Convert to fraction form
    7,789.04/11,686.80 = 4,675.04/x
  3. Step 3: Cross multiply
    7,789.04x = 11,686.80 × 4,675.04
  4. Step 4: Simplify right side
    7,789.04x = 54,636,257.47
  5. Step 5: Solve for x
    x = 54,636,257.47/7,789.04
  6. Step 6: Final answer
    x = 7,014.50

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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.