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Finding the Fourth Proportional to 10,179.84, 14,050.08 and 8,189.76

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Solution

The fourth proportional to 10,179.84, 14,050.08 and 8,189.76 is: 11,303.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,179.84 : 14,050.08 = 8,189.76 : x
  2. Step 2: Convert to fraction form
    10,179.84/14,050.08 = 8,189.76/x
  3. Step 3: Cross multiply
    10,179.84x = 14,050.08 × 8,189.76
  4. Step 4: Simplify right side
    10,179.84x = 115,066,783.18
  5. Step 5: Solve for x
    x = 115,066,783.18/10,179.84
  6. Step 6: Final answer
    x = 11,303.40

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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.