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Finding the Fourth Proportional to 7,970.03, 10,997.87 and 4,612.17

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Solution

The fourth proportional to 7,970.03, 10,997.87 and 4,612.17 is: 6,364.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.03 : 10,997.87 = 4,612.17 : x
  2. Step 2: Convert to fraction form
    7,970.03/10,997.87 = 4,612.17/x
  3. Step 3: Cross multiply
    7,970.03x = 10,997.87 × 4,612.17
  4. Step 4: Simplify right side
    7,970.03x = 50,724,023.02
  5. Step 5: Solve for x
    x = 50,724,023.02/7,970.03
  6. Step 6: Final answer
    x = 6,364.35

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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.