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Finding the Fourth Proportional to 10,804.77, 14,911.77 and 6,268.45

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Solution

The fourth proportional to 10,804.77, 14,911.77 and 6,268.45 is: 8,651.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.77 : 14,911.77 = 6,268.45 : x
  2. Step 2: Convert to fraction form
    10,804.77/14,911.77 = 6,268.45/x
  3. Step 3: Cross multiply
    10,804.77x = 14,911.77 × 6,268.45
  4. Step 4: Simplify right side
    10,804.77x = 93,473,647.38
  5. Step 5: Solve for x
    x = 93,473,647.38/10,804.77
  6. Step 6: Final answer
    x = 8,651.15

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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.