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Finding the Fourth Proportional to 7,141.56, 10,702.61 and 4,539.84

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Solution

The fourth proportional to 7,141.56, 10,702.61 and 4,539.84 is: 6,803.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.56 : 10,702.61 = 4,539.84 : x
  2. Step 2: Convert to fraction form
    7,141.56/10,702.61 = 4,539.84/x
  3. Step 3: Cross multiply
    7,141.56x = 10,702.61 × 4,539.84
  4. Step 4: Simplify right side
    7,141.56x = 48,588,136.98
  5. Step 5: Solve for x
    x = 48,588,136.98/7,141.56
  6. Step 6: Final answer
    x = 6,803.57

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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.