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Finding the Fourth Proportional to 7,094.16, 10,641.64 and 1,829.20

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Solution

The fourth proportional to 7,094.16, 10,641.64 and 1,829.20 is: 2,743.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094.16 : 10,641.64 = 1,829.20 : x
  2. Step 2: Convert to fraction form
    7,094.16/10,641.64 = 1,829.20/x
  3. Step 3: Cross multiply
    7,094.16x = 10,641.64 × 1,829.20
  4. Step 4: Simplify right side
    7,094.16x = 19,465,687.89
  5. Step 5: Solve for x
    x = 19,465,687.89/7,094.16
  6. Step 6: Final answer
    x = 2,743.90

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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.