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Finding the Fourth Proportional to 7,650.64, 11,477.78 and 2,970.76

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Solution

The fourth proportional to 7,650.64, 11,477.78 and 2,970.76 is: 4,456.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,650.64 : 11,477.78 = 2,970.76 : x
  2. Step 2: Convert to fraction form
    7,650.64/11,477.78 = 2,970.76/x
  3. Step 3: Cross multiply
    7,650.64x = 11,477.78 × 2,970.76
  4. Step 4: Simplify right side
    7,650.64x = 34,097,729.71
  5. Step 5: Solve for x
    x = 34,097,729.71/7,650.64
  6. Step 6: Final answer
    x = 4,456.85

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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.