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Finding the Fourth Proportional to 7,297.86, 10,071.04 and 4,154.06

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Solution

The fourth proportional to 7,297.86, 10,071.04 and 4,154.06 is: 5,732.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.86 : 10,071.04 = 4,154.06 : x
  2. Step 2: Convert to fraction form
    7,297.86/10,071.04 = 4,154.06/x
  3. Step 3: Cross multiply
    7,297.86x = 10,071.04 × 4,154.06
  4. Step 4: Simplify right side
    7,297.86x = 41,835,704.42
  5. Step 5: Solve for x
    x = 41,835,704.42/7,297.86
  6. Step 6: Final answer
    x = 5,732.60

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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.