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Finding the Fourth Proportional to 10,899.90, 16,346.25 and 4,235.93

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Solution

The fourth proportional to 10,899.90, 16,346.25 and 4,235.93 is: 6,352.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,899.90 : 16,346.25 = 4,235.93 : x
  2. Step 2: Convert to fraction form
    10,899.90/16,346.25 = 4,235.93/x
  3. Step 3: Cross multiply
    10,899.90x = 16,346.25 × 4,235.93
  4. Step 4: Simplify right side
    10,899.90x = 69,241,570.76
  5. Step 5: Solve for x
    x = 69,241,570.76/10,899.90
  6. Step 6: Final answer
    x = 6,352.50

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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.