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Finding the Fourth Proportional to 7,981.16, 11,970.76 and 4,651.28

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Solution

The fourth proportional to 7,981.16, 11,970.76 and 4,651.28 is: 6,976.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,981.16 : 11,970.76 = 4,651.28 : x
  2. Step 2: Convert to fraction form
    7,981.16/11,970.76 = 4,651.28/x
  3. Step 3: Cross multiply
    7,981.16x = 11,970.76 × 4,651.28
  4. Step 4: Simplify right side
    7,981.16x = 55,679,356.57
  5. Step 5: Solve for x
    x = 55,679,356.57/7,981.16
  6. Step 6: Final answer
    x = 6,976.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.