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Finding the Fourth Proportional to 10,415.52, 15,622.32 and 2,624.40

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Solution

The fourth proportional to 10,415.52, 15,622.32 and 2,624.40 is: 3,936.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.52 : 15,622.32 = 2,624.40 : x
  2. Step 2: Convert to fraction form
    10,415.52/15,622.32 = 2,624.40/x
  3. Step 3: Cross multiply
    10,415.52x = 15,622.32 × 2,624.40
  4. Step 4: Simplify right side
    10,415.52x = 40,999,216.61
  5. Step 5: Solve for x
    x = 40,999,216.61/10,415.52
  6. Step 6: Final answer
    x = 3,936.36

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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.