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Finding the Fourth Proportional to 8,619.94, 11,900.05 and 5,802.13

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Solution

The fourth proportional to 8,619.94, 11,900.05 and 5,802.13 is: 8,009.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,619.94 : 11,900.05 = 5,802.13 : x
  2. Step 2: Convert to fraction form
    8,619.94/11,900.05 = 5,802.13/x
  3. Step 3: Cross multiply
    8,619.94x = 11,900.05 × 5,802.13
  4. Step 4: Simplify right side
    8,619.94x = 69,045,637.11
  5. Step 5: Solve for x
    x = 69,045,637.11/8,619.94
  6. Step 6: Final answer
    x = 8,009.99

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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.