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Finding the Fourth Proportional to 10,175.34, 14,048.83 and 6,352.80

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Solution

The fourth proportional to 10,175.34, 14,048.83 and 6,352.80 is: 8,771.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,175.34 : 14,048.83 = 6,352.80 : x
  2. Step 2: Convert to fraction form
    10,175.34/14,048.83 = 6,352.80/x
  3. Step 3: Cross multiply
    10,175.34x = 14,048.83 × 6,352.80
  4. Step 4: Simplify right side
    10,175.34x = 89,249,444.03
  5. Step 5: Solve for x
    x = 89,249,444.03/10,175.34
  6. Step 6: Final answer
    x = 8,771.15

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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.