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Finding the Fourth Proportional to 10,784.83, 14,882.75 and 6,069.01

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Solution

The fourth proportional to 10,784.83, 14,882.75 and 6,069.01 is: 8,375.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,784.83 : 14,882.75 = 6,069.01 : x
  2. Step 2: Convert to fraction form
    10,784.83/14,882.75 = 6,069.01/x
  3. Step 3: Cross multiply
    10,784.83x = 14,882.75 × 6,069.01
  4. Step 4: Simplify right side
    10,784.83x = 90,323,558.58
  5. Step 5: Solve for x
    x = 90,323,558.58/10,784.83
  6. Step 6: Final answer
    x = 8,375.06

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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.