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Finding the Fourth Proportional to 10,111.69, 15,175.30 and 6,941.69

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Solution

The fourth proportional to 10,111.69, 15,175.30 and 6,941.69 is: 10,417.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,111.69 : 15,175.30 = 6,941.69 : x
  2. Step 2: Convert to fraction form
    10,111.69/15,175.30 = 6,941.69/x
  3. Step 3: Cross multiply
    10,111.69x = 15,175.30 × 6,941.69
  4. Step 4: Simplify right side
    10,111.69x = 105,342,228.26
  5. Step 5: Solve for x
    x = 105,342,228.26/10,111.69
  6. Step 6: Final answer
    x = 10,417.87

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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.