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Finding the Fourth Proportional to 10,508.61, 15,762.57 and 4,266.78

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Solution

The fourth proportional to 10,508.61, 15,762.57 and 4,266.78 is: 6,400.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.61 : 15,762.57 = 4,266.78 : x
  2. Step 2: Convert to fraction form
    10,508.61/15,762.57 = 4,266.78/x
  3. Step 3: Cross multiply
    10,508.61x = 15,762.57 × 4,266.78
  4. Step 4: Simplify right side
    10,508.61x = 67,255,379.32
  5. Step 5: Solve for x
    x = 67,255,379.32/10,508.61
  6. Step 6: Final answer
    x = 6,400.03

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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.