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Finding the Fourth Proportional to 7,097.96, 10,652.62 and 4,178.72

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Solution

The fourth proportional to 7,097.96, 10,652.62 and 4,178.72 is: 6,271.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.96 : 10,652.62 = 4,178.72 : x
  2. Step 2: Convert to fraction form
    7,097.96/10,652.62 = 4,178.72/x
  3. Step 3: Cross multiply
    7,097.96x = 10,652.62 × 4,178.72
  4. Step 4: Simplify right side
    7,097.96x = 44,514,316.25
  5. Step 5: Solve for x
    x = 44,514,316.25/7,097.96
  6. Step 6: Final answer
    x = 6,271.42

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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.