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Finding the Fourth Proportional to 7,157.16, 9,874.51 and 4,325.40

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Solution

The fourth proportional to 7,157.16, 9,874.51 and 4,325.40 is: 5,967.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.16 : 9,874.51 = 4,325.40 : x
  2. Step 2: Convert to fraction form
    7,157.16/9,874.51 = 4,325.40/x
  3. Step 3: Cross multiply
    7,157.16x = 9,874.51 × 4,325.40
  4. Step 4: Simplify right side
    7,157.16x = 42,711,194.74
  5. Step 5: Solve for x
    x = 42,711,194.74/7,157.16
  6. Step 6: Final answer
    x = 5,967.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.