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Finding the Fourth Proportional to 8,735.60, 12,054.97 and 4,756.64

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Solution

The fourth proportional to 8,735.60, 12,054.97 and 4,756.64 is: 6,564.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,735.60 : 12,054.97 = 4,756.64 : x
  2. Step 2: Convert to fraction form
    8,735.60/12,054.97 = 4,756.64/x
  3. Step 3: Cross multiply
    8,735.60x = 12,054.97 × 4,756.64
  4. Step 4: Simplify right side
    8,735.60x = 57,341,068.44
  5. Step 5: Solve for x
    x = 57,341,068.44/8,735.60
  6. Step 6: Final answer
    x = 6,564.07

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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.