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Finding the Fourth Proportional to 10,513.87, 15,762.26 and 4,276.80

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Solution

The fourth proportional to 10,513.87, 15,762.26 and 4,276.80 is: 6,411.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.87 : 15,762.26 = 4,276.80 : x
  2. Step 2: Convert to fraction form
    10,513.87/15,762.26 = 4,276.80/x
  3. Step 3: Cross multiply
    10,513.87x = 15,762.26 × 4,276.80
  4. Step 4: Simplify right side
    10,513.87x = 67,412,044.26
  5. Step 5: Solve for x
    x = 67,412,044.26/10,513.87
  6. Step 6: Final answer
    x = 6,411.73

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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.