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Finding the Fourth Proportional to 7,348.80, 11,013.36 and 6,567.84

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Solution

The fourth proportional to 7,348.80, 11,013.36 and 6,567.84 is: 9,842.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,348.80 : 11,013.36 = 6,567.84 : x
  2. Step 2: Convert to fraction form
    7,348.80/11,013.36 = 6,567.84/x
  3. Step 3: Cross multiply
    7,348.80x = 11,013.36 × 6,567.84
  4. Step 4: Simplify right side
    7,348.80x = 72,333,986.34
  5. Step 5: Solve for x
    x = 72,333,986.34/7,348.80
  6. Step 6: Final answer
    x = 9,842.97

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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.