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Finding the Fourth Proportional to 7,031.60, 10,543.84 and 2,349.98

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Solution

The fourth proportional to 7,031.60, 10,543.84 and 2,349.98 is: 3,523.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.60 : 10,543.84 = 2,349.98 : x
  2. Step 2: Convert to fraction form
    7,031.60/10,543.84 = 2,349.98/x
  3. Step 3: Cross multiply
    7,031.60x = 10,543.84 × 2,349.98
  4. Step 4: Simplify right side
    7,031.60x = 24,777,754.53
  5. Step 5: Solve for x
    x = 24,777,754.53/7,031.60
  6. Step 6: Final answer
    x = 3,523.77

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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.