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Finding the Fourth Proportional to 11,931.64, 17,897.44 and 5,006.14

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Solution

The fourth proportional to 11,931.64, 17,897.44 and 5,006.14 is: 7,509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,931.64 : 17,897.44 = 5,006.14 : x
  2. Step 2: Convert to fraction form
    11,931.64/17,897.44 = 5,006.14/x
  3. Step 3: Cross multiply
    11,931.64x = 17,897.44 × 5,006.14
  4. Step 4: Simplify right side
    11,931.64x = 89,597,090.28
  5. Step 5: Solve for x
    x = 89,597,090.28/11,931.64
  6. Step 6: Final answer
    x = 7,509.20

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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.