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Finding the Fourth Proportional to 10,186.94, 14,056.08 and 6,556.17

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Solution

The fourth proportional to 10,186.94, 14,056.08 and 6,556.17 is: 9,046.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,186.94 : 14,056.08 = 6,556.17 : x
  2. Step 2: Convert to fraction form
    10,186.94/14,056.08 = 6,556.17/x
  3. Step 3: Cross multiply
    10,186.94x = 14,056.08 × 6,556.17
  4. Step 4: Simplify right side
    10,186.94x = 92,154,050.01
  5. Step 5: Solve for x
    x = 92,154,050.01/10,186.94
  6. Step 6: Final answer
    x = 9,046.30

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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.