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Finding the Fourth Proportional to 10,405.77, 15,607.13 and 3,830.43

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Solution

The fourth proportional to 10,405.77, 15,607.13 and 3,830.43 is: 5,745.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.77 : 15,607.13 = 3,830.43 : x
  2. Step 2: Convert to fraction form
    10,405.77/15,607.13 = 3,830.43/x
  3. Step 3: Cross multiply
    10,405.77x = 15,607.13 × 3,830.43
  4. Step 4: Simplify right side
    10,405.77x = 59,781,999.81
  5. Step 5: Solve for x
    x = 59,781,999.81/10,405.77
  6. Step 6: Final answer
    x = 5,745.08

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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.