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Finding the Fourth Proportional to 10,367.57, 14,307.16 and 6,175.82

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Solution

The fourth proportional to 10,367.57, 14,307.16 and 6,175.82 is: 8,522.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.57 : 14,307.16 = 6,175.82 : x
  2. Step 2: Convert to fraction form
    10,367.57/14,307.16 = 6,175.82/x
  3. Step 3: Cross multiply
    10,367.57x = 14,307.16 × 6,175.82
  4. Step 4: Simplify right side
    10,367.57x = 88,358,444.87
  5. Step 5: Solve for x
    x = 88,358,444.87/10,367.57
  6. Step 6: Final answer
    x = 8,522.58

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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.