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Finding the Fourth Proportional to 7,441.91, 11,152.50 and 4,946.03

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Solution

The fourth proportional to 7,441.91, 11,152.50 and 4,946.03 is: 7,412.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441.91 : 11,152.50 = 4,946.03 : x
  2. Step 2: Convert to fraction form
    7,441.91/11,152.50 = 4,946.03/x
  3. Step 3: Cross multiply
    7,441.91x = 11,152.50 × 4,946.03
  4. Step 4: Simplify right side
    7,441.91x = 55,160,543.81
  5. Step 5: Solve for x
    x = 55,160,543.81/7,441.91
  6. Step 6: Final answer
    x = 7,412.15

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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.