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Finding the Fourth Proportional to 7,564.36, 11,347.98 and 2,947

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Solution

The fourth proportional to 7,564.36, 11,347.98 and 2,947 is: 4,421.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.36 : 11,347.98 = 2,947 : x
  2. Step 2: Convert to fraction form
    7,564.36/11,347.98 = 2,947/x
  3. Step 3: Cross multiply
    7,564.36x = 11,347.98 × 2,947
  4. Step 4: Simplify right side
    7,564.36x = 33,442,497.06
  5. Step 5: Solve for x
    x = 33,442,497.06/7,564.36
  6. Step 6: Final answer
    x = 4,421.06

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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.