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Finding the Fourth Proportional to 10,783.68, 14,881.12 and 6,069.12

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Solution

The fourth proportional to 10,783.68, 14,881.12 and 6,069.12 is: 8,375.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.68 : 14,881.12 = 6,069.12 : x
  2. Step 2: Convert to fraction form
    10,783.68/14,881.12 = 6,069.12/x
  3. Step 3: Cross multiply
    10,783.68x = 14,881.12 × 6,069.12
  4. Step 4: Simplify right side
    10,783.68x = 90,315,303.01
  5. Step 5: Solve for x
    x = 90,315,303.01/10,783.68
  6. Step 6: Final answer
    x = 8,375.18

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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.