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Finding the Fourth Proportional to 10,431.84, 15,647.60 and 3,506.32

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Solution

The fourth proportional to 10,431.84, 15,647.60 and 3,506.32 is: 5,259.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431.84 : 15,647.60 = 3,506.32 : x
  2. Step 2: Convert to fraction form
    10,431.84/15,647.60 = 3,506.32/x
  3. Step 3: Cross multiply
    10,431.84x = 15,647.60 × 3,506.32
  4. Step 4: Simplify right side
    10,431.84x = 54,865,492.83
  5. Step 5: Solve for x
    x = 54,865,492.83/10,431.84
  6. Step 6: Final answer
    x = 5,259.43

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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.