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Finding the Fourth Proportional to 10,931.54, 16,410.34 and 10,485.94

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Solution

The fourth proportional to 10,931.54, 16,410.34 and 10,485.94 is: 15,741.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,931.54 : 16,410.34 = 10,485.94 : x
  2. Step 2: Convert to fraction form
    10,931.54/16,410.34 = 10,485.94/x
  3. Step 3: Cross multiply
    10,931.54x = 16,410.34 × 10,485.94
  4. Step 4: Simplify right side
    10,931.54x = 172,077,840.62
  5. Step 5: Solve for x
    x = 172,077,840.62/10,931.54
  6. Step 6: Final answer
    x = 15,741.41

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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.