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Finding the Fourth Proportional to 8,501.59, 11,730.08 and 5,309.94

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Solution

The fourth proportional to 8,501.59, 11,730.08 and 5,309.94 is: 7,326.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,501.59 : 11,730.08 = 5,309.94 : x
  2. Step 2: Convert to fraction form
    8,501.59/11,730.08 = 5,309.94/x
  3. Step 3: Cross multiply
    8,501.59x = 11,730.08 × 5,309.94
  4. Step 4: Simplify right side
    8,501.59x = 62,286,012.28
  5. Step 5: Solve for x
    x = 62,286,012.28/8,501.59
  6. Step 6: Final answer
    x = 7,326.39

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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.