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Finding the Fourth Proportional to 7,524.78, 10,381.23 and 4,690.50

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Solution

The fourth proportional to 7,524.78, 10,381.23 and 4,690.50 is: 6,471.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,524.78 : 10,381.23 = 4,690.50 : x
  2. Step 2: Convert to fraction form
    7,524.78/10,381.23 = 4,690.50/x
  3. Step 3: Cross multiply
    7,524.78x = 10,381.23 × 4,690.50
  4. Step 4: Simplify right side
    7,524.78x = 48,693,159.32
  5. Step 5: Solve for x
    x = 48,693,159.32/7,524.78
  6. Step 6: Final answer
    x = 6,471.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.