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Finding the Fourth Proportional to 7,970.64, 11,952.36 and 2,775.60

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Solution

The fourth proportional to 7,970.64, 11,952.36 and 2,775.60 is: 4,162.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.64 : 11,952.36 = 2,775.60 : x
  2. Step 2: Convert to fraction form
    7,970.64/11,952.36 = 2,775.60/x
  3. Step 3: Cross multiply
    7,970.64x = 11,952.36 × 2,775.60
  4. Step 4: Simplify right side
    7,970.64x = 33,174,970.42
  5. Step 5: Solve for x
    x = 33,174,970.42/7,970.64
  6. Step 6: Final answer
    x = 4,162.15

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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.