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Finding the Fourth Proportional to 10,584.08, 14,605.46 and 5,804

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Solution

The fourth proportional to 10,584.08, 14,605.46 and 5,804 is: 8,009.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.08 : 14,605.46 = 5,804 : x
  2. Step 2: Convert to fraction form
    10,584.08/14,605.46 = 5,804/x
  3. Step 3: Cross multiply
    10,584.08x = 14,605.46 × 5,804
  4. Step 4: Simplify right side
    10,584.08x = 84,770,089.84
  5. Step 5: Solve for x
    x = 84,770,089.84/10,584.08
  6. Step 6: Final answer
    x = 8,009.21

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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.