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Finding the Fourth Proportional to 7,802.26, 11,708.02 and 2,875.36

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Solution

The fourth proportional to 7,802.26, 11,708.02 and 2,875.36 is: 4,314.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.26 : 11,708.02 = 2,875.36 : x
  2. Step 2: Convert to fraction form
    7,802.26/11,708.02 = 2,875.36/x
  3. Step 3: Cross multiply
    7,802.26x = 11,708.02 × 2,875.36
  4. Step 4: Simplify right side
    7,802.26x = 33,664,772.39
  5. Step 5: Solve for x
    x = 33,664,772.39/7,802.26
  6. Step 6: Final answer
    x = 4,314.75

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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.