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Finding the Fourth Proportional to 10,907.10, 16,360.65 and 6,522.30

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Solution

The fourth proportional to 10,907.10, 16,360.65 and 6,522.30 is: 9,783.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,907.10 : 16,360.65 = 6,522.30 : x
  2. Step 2: Convert to fraction form
    10,907.10/16,360.65 = 6,522.30/x
  3. Step 3: Cross multiply
    10,907.10x = 16,360.65 × 6,522.30
  4. Step 4: Simplify right side
    10,907.10x = 106,709,067.50
  5. Step 5: Solve for x
    x = 106,709,067.50/10,907.10
  6. Step 6: Final answer
    x = 9,783.45

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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.