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Finding the Fourth Proportional to 7,444.62, 10,272.15 and 5,085.90

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Solution

The fourth proportional to 7,444.62, 10,272.15 and 5,085.90 is: 7,017.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,444.62 : 10,272.15 = 5,085.90 : x
  2. Step 2: Convert to fraction form
    7,444.62/10,272.15 = 5,085.90/x
  3. Step 3: Cross multiply
    7,444.62x = 10,272.15 × 5,085.90
  4. Step 4: Simplify right side
    7,444.62x = 52,243,127.69
  5. Step 5: Solve for x
    x = 52,243,127.69/7,444.62
  6. Step 6: Final answer
    x = 7,017.57

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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.