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Finding the Fourth Proportional to 7,517.84, 11,276.76 and 1,970.72

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Solution

The fourth proportional to 7,517.84, 11,276.76 and 1,970.72 is: 2,956.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,517.84 : 11,276.76 = 1,970.72 : x
  2. Step 2: Convert to fraction form
    7,517.84/11,276.76 = 1,970.72/x
  3. Step 3: Cross multiply
    7,517.84x = 11,276.76 × 1,970.72
  4. Step 4: Simplify right side
    7,517.84x = 22,223,336.47
  5. Step 5: Solve for x
    x = 22,223,336.47/7,517.84
  6. Step 6: Final answer
    x = 2,956.08

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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.