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Finding the Fourth Proportional to 6,159.06, 8,510.37 and 4,563.42

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Solution

The fourth proportional to 6,159.06, 8,510.37 and 4,563.42 is: 6,305.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.06 : 8,510.37 = 4,563.42 : x
  2. Step 2: Convert to fraction form
    6,159.06/8,510.37 = 4,563.42/x
  3. Step 3: Cross multiply
    6,159.06x = 8,510.37 × 4,563.42
  4. Step 4: Simplify right side
    6,159.06x = 38,836,392.67
  5. Step 5: Solve for x
    x = 38,836,392.67/6,159.06
  6. Step 6: Final answer
    x = 6,305.57

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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.