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Finding the Fourth Proportional to 10,420.83, 15,632.82 and 3,025.40

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Solution

The fourth proportional to 10,420.83, 15,632.82 and 3,025.40 is: 4,538.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.83 : 15,632.82 = 3,025.40 : x
  2. Step 2: Convert to fraction form
    10,420.83/15,632.82 = 3,025.40/x
  3. Step 3: Cross multiply
    10,420.83x = 15,632.82 × 3,025.40
  4. Step 4: Simplify right side
    10,420.83x = 47,295,455.46
  5. Step 5: Solve for x
    x = 47,295,455.46/10,420.83
  6. Step 6: Final answer
    x = 4,538.55

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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.