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Finding the Fourth Proportional to 10,175.32, 14,042.08 and 6,636.50

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Solution

The fourth proportional to 10,175.32, 14,042.08 and 6,636.50 is: 9,158.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,175.32 : 14,042.08 = 6,636.50 : x
  2. Step 2: Convert to fraction form
    10,175.32/14,042.08 = 6,636.50/x
  3. Step 3: Cross multiply
    10,175.32x = 14,042.08 × 6,636.50
  4. Step 4: Simplify right side
    10,175.32x = 93,190,160.53
  5. Step 5: Solve for x
    x = 93,190,160.53/10,175.32
  6. Step 6: Final answer
    x = 9,158.45

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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.