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Finding the Fourth Proportional to 7,702.14, 11,561.19 and 4,742.72

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Solution

The fourth proportional to 7,702.14, 11,561.19 and 4,742.72 is: 7,118.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.14 : 11,561.19 = 4,742.72 : x
  2. Step 2: Convert to fraction form
    7,702.14/11,561.19 = 4,742.72/x
  3. Step 3: Cross multiply
    7,702.14x = 11,561.19 × 4,742.72
  4. Step 4: Simplify right side
    7,702.14x = 54,831,487.04
  5. Step 5: Solve for x
    x = 54,831,487.04/7,702.14
  6. Step 6: Final answer
    x = 7,118.99

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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.