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Finding the Fourth Proportional to 11,346.26, 15,646.84 and 7,569.57

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Solution

The fourth proportional to 11,346.26, 15,646.84 and 7,569.57 is: 10,438.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,346.26 : 15,646.84 = 7,569.57 : x
  2. Step 2: Convert to fraction form
    11,346.26/15,646.84 = 7,569.57/x
  3. Step 3: Cross multiply
    11,346.26x = 15,646.84 × 7,569.57
  4. Step 4: Simplify right side
    11,346.26x = 118,439,890.41
  5. Step 5: Solve for x
    x = 118,439,890.41/11,346.26
  6. Step 6: Final answer
    x = 10,438.68

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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.