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Finding the Fourth Proportional to 10,444.16, 15,667.16 and 3,870.41

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Solution

The fourth proportional to 10,444.16, 15,667.16 and 3,870.41 is: 5,805.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444.16 : 15,667.16 = 3,870.41 : x
  2. Step 2: Convert to fraction form
    10,444.16/15,667.16 = 3,870.41/x
  3. Step 3: Cross multiply
    10,444.16x = 15,667.16 × 3,870.41
  4. Step 4: Simplify right side
    10,444.16x = 60,638,235.05
  5. Step 5: Solve for x
    x = 60,638,235.05/10,444.16
  6. Step 6: Final answer
    x = 5,805.95

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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.