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Finding the Fourth Proportional to 8,430.78, 11,636.76 and 4,893.26

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Solution

The fourth proportional to 8,430.78, 11,636.76 and 4,893.26 is: 6,754.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.78 : 11,636.76 = 4,893.26 : x
  2. Step 2: Convert to fraction form
    8,430.78/11,636.76 = 4,893.26/x
  3. Step 3: Cross multiply
    8,430.78x = 11,636.76 × 4,893.26
  4. Step 4: Simplify right side
    8,430.78x = 56,941,692.24
  5. Step 5: Solve for x
    x = 56,941,692.24/8,430.78
  6. Step 6: Final answer
    x = 6,754.02

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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.