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Finding the Fourth Proportional to 12,347.10, 18,526.55 and 5,772.33

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Solution

The fourth proportional to 12,347.10, 18,526.55 and 5,772.33 is: 8,661.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,347.10 : 18,526.55 = 5,772.33 : x
  2. Step 2: Convert to fraction form
    12,347.10/18,526.55 = 5,772.33/x
  3. Step 3: Cross multiply
    12,347.10x = 18,526.55 × 5,772.33
  4. Step 4: Simplify right side
    12,347.10x = 106,941,331.50
  5. Step 5: Solve for x
    x = 106,941,331.50/12,347.10
  6. Step 6: Final answer
    x = 8,661.25

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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.