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Finding the Fourth Proportional to 10,533.70, 14,537.46 and 5,819.50

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Solution

The fourth proportional to 10,533.70, 14,537.46 and 5,819.50 is: 8,031.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,533.70 : 14,537.46 = 5,819.50 : x
  2. Step 2: Convert to fraction form
    10,533.70/14,537.46 = 5,819.50/x
  3. Step 3: Cross multiply
    10,533.70x = 14,537.46 × 5,819.50
  4. Step 4: Simplify right side
    10,533.70x = 84,600,748.47
  5. Step 5: Solve for x
    x = 84,600,748.47/10,533.70
  6. Step 6: Final answer
    x = 8,031.44

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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.