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Finding the Fourth Proportional to 7,970.42, 10,997.93 and 4,433.63

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Solution

The fourth proportional to 7,970.42, 10,997.93 and 4,433.63 is: 6,117.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.42 : 10,997.93 = 4,433.63 : x
  2. Step 2: Convert to fraction form
    7,970.42/10,997.93 = 4,433.63/x
  3. Step 3: Cross multiply
    7,970.42x = 10,997.93 × 4,433.63
  4. Step 4: Simplify right side
    7,970.42x = 48,760,752.39
  5. Step 5: Solve for x
    x = 48,760,752.39/7,970.42
  6. Step 6: Final answer
    x = 6,117.71

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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.