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Finding the Fourth Proportional to 7,970.16, 11,946.12 and 3,965.52

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Solution

The fourth proportional to 7,970.16, 11,946.12 and 3,965.52 is: 5,943.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.16 : 11,946.12 = 3,965.52 : x
  2. Step 2: Convert to fraction form
    7,970.16/11,946.12 = 3,965.52/x
  3. Step 3: Cross multiply
    7,970.16x = 11,946.12 × 3,965.52
  4. Step 4: Simplify right side
    7,970.16x = 47,372,577.78
  5. Step 5: Solve for x
    x = 47,372,577.78/7,970.16
  6. Step 6: Final answer
    x = 5,943.74

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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.