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Finding the Fourth Proportional to 8,923.30, 13,387.20 and 7,802.26

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Solution

The fourth proportional to 8,923.30, 13,387.20 and 7,802.26 is: 11,705.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,923.30 : 13,387.20 = 7,802.26 : x
  2. Step 2: Convert to fraction form
    8,923.30/13,387.20 = 7,802.26/x
  3. Step 3: Cross multiply
    8,923.30x = 13,387.20 × 7,802.26
  4. Step 4: Simplify right side
    8,923.30x = 104,450,415.07
  5. Step 5: Solve for x
    x = 104,450,415.07/8,923.30
  6. Step 6: Final answer
    x = 11,705.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.