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Finding the Fourth Proportional to 10,743.76, 14,817.54 and 7,567.54

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Solution

The fourth proportional to 10,743.76, 14,817.54 and 7,567.54 is: 10,436.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,743.76 : 14,817.54 = 7,567.54 : x
  2. Step 2: Convert to fraction form
    10,743.76/14,817.54 = 7,567.54/x
  3. Step 3: Cross multiply
    10,743.76x = 14,817.54 × 7,567.54
  4. Step 4: Simplify right side
    10,743.76x = 112,132,326.65
  5. Step 5: Solve for x
    x = 112,132,326.65/10,743.76
  6. Step 6: Final answer
    x = 10,436.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.