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Finding the Fourth Proportional to 7,094.65, 10,643.70 and 2,164.39

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Solution

The fourth proportional to 7,094.65, 10,643.70 and 2,164.39 is: 3,247.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094.65 : 10,643.70 = 2,164.39 : x
  2. Step 2: Convert to fraction form
    7,094.65/10,643.70 = 2,164.39/x
  3. Step 3: Cross multiply
    7,094.65x = 10,643.70 × 2,164.39
  4. Step 4: Simplify right side
    7,094.65x = 23,037,117.84
  5. Step 5: Solve for x
    x = 23,037,117.84/7,094.65
  6. Step 6: Final answer
    x = 3,247.11

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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.