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Finding the Fourth Proportional to 10,385.93, 15,577.50 and 3,811.25

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Solution

The fourth proportional to 10,385.93, 15,577.50 and 3,811.25 is: 5,716.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385.93 : 15,577.50 = 3,811.25 : x
  2. Step 2: Convert to fraction form
    10,385.93/15,577.50 = 3,811.25/x
  3. Step 3: Cross multiply
    10,385.93x = 15,577.50 × 3,811.25
  4. Step 4: Simplify right side
    10,385.93x = 59,369,746.88
  5. Step 5: Solve for x
    x = 59,369,746.88/10,385.93
  6. Step 6: Final answer
    x = 5,716.36

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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.