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Finding the Fourth Proportional to 8,346.93, 11,518.77 and 4,810.14

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Solution

The fourth proportional to 8,346.93, 11,518.77 and 4,810.14 is: 6,638.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,346.93 : 11,518.77 = 4,810.14 : x
  2. Step 2: Convert to fraction form
    8,346.93/11,518.77 = 4,810.14/x
  3. Step 3: Cross multiply
    8,346.93x = 11,518.77 × 4,810.14
  4. Step 4: Simplify right side
    8,346.93x = 55,406,896.33
  5. Step 5: Solve for x
    x = 55,406,896.33/8,346.93
  6. Step 6: Final answer
    x = 6,638.00

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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.