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Finding the Fourth Proportional to 8,590.59, 11,854.89 and 4,814.10

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Solution

The fourth proportional to 8,590.59, 11,854.89 and 4,814.10 is: 6,643.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.59 : 11,854.89 = 4,814.10 : x
  2. Step 2: Convert to fraction form
    8,590.59/11,854.89 = 4,814.10/x
  3. Step 3: Cross multiply
    8,590.59x = 11,854.89 × 4,814.10
  4. Step 4: Simplify right side
    8,590.59x = 57,070,625.95
  5. Step 5: Solve for x
    x = 57,070,625.95/8,590.59
  6. Step 6: Final answer
    x = 6,643.39

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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.