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Finding the Fourth Proportional to 8,484.93, 11,709.60 and 5,300.11

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Solution

The fourth proportional to 8,484.93, 11,709.60 and 5,300.11 is: 7,314.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.93 : 11,709.60 = 5,300.11 : x
  2. Step 2: Convert to fraction form
    8,484.93/11,709.60 = 5,300.11/x
  3. Step 3: Cross multiply
    8,484.93x = 11,709.60 × 5,300.11
  4. Step 4: Simplify right side
    8,484.93x = 62,062,083.01
  5. Step 5: Solve for x
    x = 62,062,083.01/8,484.93
  6. Step 6: Final answer
    x = 7,314.39

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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.