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Finding the Fourth Proportional to 10,652.44, 14,699.16 and 6,175.27

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Solution

The fourth proportional to 10,652.44, 14,699.16 and 6,175.27 is: 8,521.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.44 : 14,699.16 = 6,175.27 : x
  2. Step 2: Convert to fraction form
    10,652.44/14,699.16 = 6,175.27/x
  3. Step 3: Cross multiply
    10,652.44x = 14,699.16 × 6,175.27
  4. Step 4: Simplify right side
    10,652.44x = 90,771,281.77
  5. Step 5: Solve for x
    x = 90,771,281.77/10,652.44
  6. Step 6: Final answer
    x = 8,521.17

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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.