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Finding the Fourth Proportional to 8,319.54, 11,480.93 and 4,734.51

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Solution

The fourth proportional to 8,319.54, 11,480.93 and 4,734.51 is: 6,533.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,319.54 : 11,480.93 = 4,734.51 : x
  2. Step 2: Convert to fraction form
    8,319.54/11,480.93 = 4,734.51/x
  3. Step 3: Cross multiply
    8,319.54x = 11,480.93 × 4,734.51
  4. Step 4: Simplify right side
    8,319.54x = 54,356,554.22
  5. Step 5: Solve for x
    x = 54,356,554.22/8,319.54
  6. Step 6: Final answer
    x = 6,533.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.