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Finding the Fourth Proportional to 10,678.50, 16,025.04 and 7,777.08

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Solution

The fourth proportional to 10,678.50, 16,025.04 and 7,777.08 is: 11,670.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.50 : 16,025.04 = 7,777.08 : x
  2. Step 2: Convert to fraction form
    10,678.50/16,025.04 = 7,777.08/x
  3. Step 3: Cross multiply
    10,678.50x = 16,025.04 × 7,777.08
  4. Step 4: Simplify right side
    10,678.50x = 124,628,018.08
  5. Step 5: Solve for x
    x = 124,628,018.08/10,678.50
  6. Step 6: Final answer
    x = 11,670.93

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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.