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Finding the Fourth Proportional to 10,065.84, 13,899.14 and 6,535.08

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Solution

The fourth proportional to 10,065.84, 13,899.14 and 6,535.08 is: 9,023.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,065.84 : 13,899.14 = 6,535.08 : x
  2. Step 2: Convert to fraction form
    10,065.84/13,899.14 = 6,535.08/x
  3. Step 3: Cross multiply
    10,065.84x = 13,899.14 × 6,535.08
  4. Step 4: Simplify right side
    10,065.84x = 90,831,991.83
  5. Step 5: Solve for x
    x = 90,831,991.83/10,065.84
  6. Step 6: Final answer
    x = 9,023.79

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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.