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Finding the Fourth Proportional to 12,506.64, 18,760.00 and 5,111.10

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Solution

The fourth proportional to 12,506.64, 18,760.00 and 5,111.10 is: 7,666.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,506.64 : 18,760.00 = 5,111.10 : x
  2. Step 2: Convert to fraction form
    12,506.64/18,760.00 = 5,111.10/x
  3. Step 3: Cross multiply
    12,506.64x = 18,760.00 × 5,111.10
  4. Step 4: Simplify right side
    12,506.64x = 95,884,210.44
  5. Step 5: Solve for x
    x = 95,884,210.44/12,506.64
  6. Step 6: Final answer
    x = 7,666.66

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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.