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Finding the Fourth Proportional to 8,430.57, 11,634.17 and 4,653.77

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Solution

The fourth proportional to 8,430.57, 11,634.17 and 4,653.77 is: 6,422.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.57 : 11,634.17 = 4,653.77 : x
  2. Step 2: Convert to fraction form
    8,430.57/11,634.17 = 4,653.77/x
  3. Step 3: Cross multiply
    8,430.57x = 11,634.17 × 4,653.77
  4. Step 4: Simplify right side
    8,430.57x = 54,142,669.88
  5. Step 5: Solve for x
    x = 54,142,669.88/8,430.57
  6. Step 6: Final answer
    x = 6,422.18

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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.