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Finding the Fourth Proportional to 8,742.63, 12,064.78 and 4,763.75

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Solution

The fourth proportional to 8,742.63, 12,064.78 and 4,763.75 is: 6,573.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742.63 : 12,064.78 = 4,763.75 : x
  2. Step 2: Convert to fraction form
    8,742.63/12,064.78 = 4,763.75/x
  3. Step 3: Cross multiply
    8,742.63x = 12,064.78 × 4,763.75
  4. Step 4: Simplify right side
    8,742.63x = 57,473,541.36
  5. Step 5: Solve for x
    x = 57,473,541.36/8,742.63
  6. Step 6: Final answer
    x = 6,573.94

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