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Finding the Fourth Proportional to 8,417.69, 11,607.81 and 5,584.07

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Solution

The fourth proportional to 8,417.69, 11,607.81 and 5,584.07 is: 7,700.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417.69 : 11,607.81 = 5,584.07 : x
  2. Step 2: Convert to fraction form
    8,417.69/11,607.81 = 5,584.07/x
  3. Step 3: Cross multiply
    8,417.69x = 11,607.81 × 5,584.07
  4. Step 4: Simplify right side
    8,417.69x = 64,818,823.59
  5. Step 5: Solve for x
    x = 64,818,823.59/8,417.69
  6. Step 6: Final answer
    x = 7,700.31

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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.