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Finding the Fourth Proportional to 8,142, 11,235.96 and 4,416

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Solution

The fourth proportional to 8,142, 11,235.96 and 4,416 is: 6,094.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142 : 11,235.96 = 4,416 : x
  2. Step 2: Convert to fraction form
    8,142/11,235.96 = 4,416/x
  3. Step 3: Cross multiply
    8,142x = 11,235.96 × 4,416
  4. Step 4: Simplify right side
    8,142x = 49,617,999.36
  5. Step 5: Solve for x
    x = 49,617,999.36/8,142
  6. Step 6: Final answer
    x = 6,094.08

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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.