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Finding the Fourth Proportional to 7,798.76, 11,701.78 and 4,514.61

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Solution

The fourth proportional to 7,798.76, 11,701.78 and 4,514.61 is: 6,774.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.76 : 11,701.78 = 4,514.61 : x
  2. Step 2: Convert to fraction form
    7,798.76/11,701.78 = 4,514.61/x
  3. Step 3: Cross multiply
    7,798.76x = 11,701.78 × 4,514.61
  4. Step 4: Simplify right side
    7,798.76x = 52,828,973.01
  5. Step 5: Solve for x
    x = 52,828,973.01/7,798.76
  6. Step 6: Final answer
    x = 6,774.02

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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.