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Finding the Fourth Proportional to 8,477.69, 11,699.59 and 5,640.51

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Solution

The fourth proportional to 8,477.69, 11,699.59 and 5,640.51 is: 7,784.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,477.69 : 11,699.59 = 5,640.51 : x
  2. Step 2: Convert to fraction form
    8,477.69/11,699.59 = 5,640.51/x
  3. Step 3: Cross multiply
    8,477.69x = 11,699.59 × 5,640.51
  4. Step 4: Simplify right side
    8,477.69x = 65,991,661.83
  5. Step 5: Solve for x
    x = 65,991,661.83/8,477.69
  6. Step 6: Final answer
    x = 7,784.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.