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Finding the Fourth Proportional to 10,389.94, 15,585.04 and 3,464.44

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Solution

The fourth proportional to 10,389.94, 15,585.04 and 3,464.44 is: 5,196.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,389.94 : 15,585.04 = 3,464.44 : x
  2. Step 2: Convert to fraction form
    10,389.94/15,585.04 = 3,464.44/x
  3. Step 3: Cross multiply
    10,389.94x = 15,585.04 × 3,464.44
  4. Step 4: Simplify right side
    10,389.94x = 53,993,401.35
  5. Step 5: Solve for x
    x = 53,993,401.35/10,389.94
  6. Step 6: Final answer
    x = 5,196.70

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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.