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Finding the Fourth Proportional to 10,141.04, 15,231.16 and 8,410.16

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Solution

The fourth proportional to 10,141.04, 15,231.16 and 8,410.16 is: 12,631.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,141.04 : 15,231.16 = 8,410.16 : x
  2. Step 2: Convert to fraction form
    10,141.04/15,231.16 = 8,410.16/x
  3. Step 3: Cross multiply
    10,141.04x = 15,231.16 × 8,410.16
  4. Step 4: Simplify right side
    10,141.04x = 128,096,492.59
  5. Step 5: Solve for x
    x = 128,096,492.59/10,141.04
  6. Step 6: Final answer
    x = 12,631.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.