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Finding the Fourth Proportional to 10,678.36, 16,018.08 and 4,102.24

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Solution

The fourth proportional to 10,678.36, 16,018.08 and 4,102.24 is: 6,153.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.36 : 16,018.08 = 4,102.24 : x
  2. Step 2: Convert to fraction form
    10,678.36/16,018.08 = 4,102.24/x
  3. Step 3: Cross multiply
    10,678.36x = 16,018.08 × 4,102.24
  4. Step 4: Simplify right side
    10,678.36x = 65,710,008.50
  5. Step 5: Solve for x
    x = 65,710,008.50/10,678.36
  6. Step 6: Final answer
    x = 6,153.57

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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.