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Finding the Fourth Proportional to 10,357.63, 14,300.90 and 6,379.99

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Solution

The fourth proportional to 10,357.63, 14,300.90 and 6,379.99 is: 8,808.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.63 : 14,300.90 = 6,379.99 : x
  2. Step 2: Convert to fraction form
    10,357.63/14,300.90 = 6,379.99/x
  3. Step 3: Cross multiply
    10,357.63x = 14,300.90 × 6,379.99
  4. Step 4: Simplify right side
    10,357.63x = 91,239,567.09
  5. Step 5: Solve for x
    x = 91,239,567.09/10,357.63
  6. Step 6: Final answer
    x = 8,808.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.