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Finding the Fourth Proportional to 10,678.71, 16,018.07 and 4,835.32

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Solution

The fourth proportional to 10,678.71, 16,018.07 and 4,835.32 is: 7,252.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.71 : 16,018.07 = 4,835.32 : x
  2. Step 2: Convert to fraction form
    10,678.71/16,018.07 = 4,835.32/x
  3. Step 3: Cross multiply
    10,678.71x = 16,018.07 × 4,835.32
  4. Step 4: Simplify right side
    10,678.71x = 77,452,481.86
  5. Step 5: Solve for x
    x = 77,452,481.86/10,678.71
  6. Step 6: Final answer
    x = 7,252.98

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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.