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Finding the Fourth Proportional to 7,665.40, 11,503.23 and 3,283.93

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Solution

The fourth proportional to 7,665.40, 11,503.23 and 3,283.93 is: 4,928.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.40 : 11,503.23 = 3,283.93 : x
  2. Step 2: Convert to fraction form
    7,665.40/11,503.23 = 3,283.93/x
  3. Step 3: Cross multiply
    7,665.40x = 11,503.23 × 3,283.93
  4. Step 4: Simplify right side
    7,665.40x = 37,775,802.09
  5. Step 5: Solve for x
    x = 37,775,802.09/7,665.40
  6. Step 6: Final answer
    x = 4,928.09

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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.