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Finding the Fourth Proportional to 7,460.46, 11,188.95 and 3,298.21

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Solution

The fourth proportional to 7,460.46, 11,188.95 and 3,298.21 is: 4,946.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460.46 : 11,188.95 = 3,298.21 : x
  2. Step 2: Convert to fraction form
    7,460.46/11,188.95 = 3,298.21/x
  3. Step 3: Cross multiply
    7,460.46x = 11,188.95 × 3,298.21
  4. Step 4: Simplify right side
    7,460.46x = 36,903,506.78
  5. Step 5: Solve for x
    x = 36,903,506.78/7,460.46
  6. Step 6: Final answer
    x = 4,946.55

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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.