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Finding the Fourth Proportional to 8,574.96, 11,833.36 and 4,798.14

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Solution

The fourth proportional to 8,574.96, 11,833.36 and 4,798.14 is: 6,621.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574.96 : 11,833.36 = 4,798.14 : x
  2. Step 2: Convert to fraction form
    8,574.96/11,833.36 = 4,798.14/x
  3. Step 3: Cross multiply
    8,574.96x = 11,833.36 × 4,798.14
  4. Step 4: Simplify right side
    8,574.96x = 56,778,117.95
  5. Step 5: Solve for x
    x = 56,778,117.95/8,574.96
  6. Step 6: Final answer
    x = 6,621.39

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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.