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Finding the Fourth Proportional to 7,348.42, 11,000.76 and 4,417.84

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Solution

The fourth proportional to 7,348.42, 11,000.76 and 4,417.84 is: 6,613.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,348.42 : 11,000.76 = 4,417.84 : x
  2. Step 2: Convert to fraction form
    7,348.42/11,000.76 = 4,417.84/x
  3. Step 3: Cross multiply
    7,348.42x = 11,000.76 × 4,417.84
  4. Step 4: Simplify right side
    7,348.42x = 48,599,597.56
  5. Step 5: Solve for x
    x = 48,599,597.56/7,348.42
  6. Step 6: Final answer
    x = 6,613.61

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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.