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Finding the Fourth Proportional to 10,444.94, 15,668.13 and 4,205.00

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Solution

The fourth proportional to 10,444.94, 15,668.13 and 4,205.00 is: 6,307.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444.94 : 15,668.13 = 4,205.00 : x
  2. Step 2: Convert to fraction form
    10,444.94/15,668.13 = 4,205.00/x
  3. Step 3: Cross multiply
    10,444.94x = 15,668.13 × 4,205.00
  4. Step 4: Simplify right side
    10,444.94x = 65,884,408.31
  5. Step 5: Solve for x
    x = 65,884,408.31/10,444.94
  6. Step 6: Final answer
    x = 6,307.79

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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.