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Finding the Fourth Proportional to 7,094.19, 10,641.69 and 2,164.17

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Solution

The fourth proportional to 7,094.19, 10,641.69 and 2,164.17 is: 3,246.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094.19 : 10,641.69 = 2,164.17 : x
  2. Step 2: Convert to fraction form
    7,094.19/10,641.69 = 2,164.17/x
  3. Step 3: Cross multiply
    7,094.19x = 10,641.69 × 2,164.17
  4. Step 4: Simplify right side
    7,094.19x = 23,030,426.25
  5. Step 5: Solve for x
    x = 23,030,426.25/7,094.19
  6. Step 6: Final answer
    x = 3,246.38

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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.