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Finding the Fourth Proportional to 7,657.18, 11,474.80 and 4,363.46

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Solution

The fourth proportional to 7,657.18, 11,474.80 and 4,363.46 is: 6,538.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.18 : 11,474.80 = 4,363.46 : x
  2. Step 2: Convert to fraction form
    7,657.18/11,474.80 = 4,363.46/x
  3. Step 3: Cross multiply
    7,657.18x = 11,474.80 × 4,363.46
  4. Step 4: Simplify right side
    7,657.18x = 50,069,830.81
  5. Step 5: Solve for x
    x = 50,069,830.81/7,657.18
  6. Step 6: Final answer
    x = 6,538.94

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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.