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Finding the Fourth Proportional to 8,055.65, 12,083.00 and 4,789.53

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Solution

The fourth proportional to 8,055.65, 12,083.00 and 4,789.53 is: 7,184.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,055.65 : 12,083.00 = 4,789.53 : x
  2. Step 2: Convert to fraction form
    8,055.65/12,083.00 = 4,789.53/x
  3. Step 3: Cross multiply
    8,055.65x = 12,083.00 × 4,789.53
  4. Step 4: Simplify right side
    8,055.65x = 57,871,916.64
  5. Step 5: Solve for x
    x = 57,871,916.64/8,055.65
  6. Step 6: Final answer
    x = 7,184.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.