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Finding the Fourth Proportional to 11,897.40, 17,838.90 and 5,322.36

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Solution

The fourth proportional to 11,897.40, 17,838.90 and 5,322.36 is: 7,980.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.40 : 17,838.90 = 5,322.36 : x
  2. Step 2: Convert to fraction form
    11,897.40/17,838.90 = 5,322.36/x
  3. Step 3: Cross multiply
    11,897.40x = 17,838.90 × 5,322.36
  4. Step 4: Simplify right side
    11,897.40x = 94,945,047.80
  5. Step 5: Solve for x
    x = 94,945,047.80/11,897.40
  6. Step 6: Final answer
    x = 7,980.32

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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.