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Finding the Fourth Proportional to 10,486.60, 14,464.11 and 7,127.44

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Solution

The fourth proportional to 10,486.60, 14,464.11 and 7,127.44 is: 9,830.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.60 : 14,464.11 = 7,127.44 : x
  2. Step 2: Convert to fraction form
    10,486.60/14,464.11 = 7,127.44/x
  3. Step 3: Cross multiply
    10,486.60x = 14,464.11 × 7,127.44
  4. Step 4: Simplify right side
    10,486.60x = 103,092,076.18
  5. Step 5: Solve for x
    x = 103,092,076.18/10,486.60
  6. Step 6: Final answer
    x = 9,830.84

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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.