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Finding the Fourth Proportional to 11,931.14, 17,894.23 and 4,533.01

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Solution

The fourth proportional to 11,931.14, 17,894.23 and 4,533.01 is: 6,798.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,931.14 : 17,894.23 = 4,533.01 : x
  2. Step 2: Convert to fraction form
    11,931.14/17,894.23 = 4,533.01/x
  3. Step 3: Cross multiply
    11,931.14x = 17,894.23 × 4,533.01
  4. Step 4: Simplify right side
    11,931.14x = 81,114,723.53
  5. Step 5: Solve for x
    x = 81,114,723.53/11,931.14
  6. Step 6: Final answer
    x = 6,798.57

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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.