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Finding the Fourth Proportional to 10,303.34, 15,462.77 and 4,064.99

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Solution

The fourth proportional to 10,303.34, 15,462.77 and 4,064.99 is: 6,100.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,303.34 : 15,462.77 = 4,064.99 : x
  2. Step 2: Convert to fraction form
    10,303.34/15,462.77 = 4,064.99/x
  3. Step 3: Cross multiply
    10,303.34x = 15,462.77 × 4,064.99
  4. Step 4: Simplify right side
    10,303.34x = 62,855,907.78
  5. Step 5: Solve for x
    x = 62,855,907.78/10,303.34
  6. Step 6: Final answer
    x = 6,100.54

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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.