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Finding the Fourth Proportional to 10,065.84, 15,100.32 and 6,772.04

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Solution

The fourth proportional to 10,065.84, 15,100.32 and 6,772.04 is: 10,159.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,065.84 : 15,100.32 = 6,772.04 : x
  2. Step 2: Convert to fraction form
    10,065.84/15,100.32 = 6,772.04/x
  3. Step 3: Cross multiply
    10,065.84x = 15,100.32 × 6,772.04
  4. Step 4: Simplify right side
    10,065.84x = 102,259,971.05
  5. Step 5: Solve for x
    x = 102,259,971.05/10,065.84
  6. Step 6: Final answer
    x = 10,159.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.