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Finding the Fourth Proportional to 10,962.10, 16,435.05 and 6,037.30

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Solution

The fourth proportional to 10,962.10, 16,435.05 and 6,037.30 is: 9,051.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,962.10 : 16,435.05 = 6,037.30 : x
  2. Step 2: Convert to fraction form
    10,962.10/16,435.05 = 6,037.30/x
  3. Step 3: Cross multiply
    10,962.10x = 16,435.05 × 6,037.30
  4. Step 4: Simplify right side
    10,962.10x = 99,223,327.37
  5. Step 5: Solve for x
    x = 99,223,327.37/10,962.10
  6. Step 6: Final answer
    x = 9,051.49

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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.