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Finding the Fourth Proportional to 6,461.60, 8,923.23 and 5,568.87

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Solution

The fourth proportional to 6,461.60, 8,923.23 and 5,568.87 is: 7,690.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.60 : 8,923.23 = 5,568.87 : x
  2. Step 2: Convert to fraction form
    6,461.60/8,923.23 = 5,568.87/x
  3. Step 3: Cross multiply
    6,461.60x = 8,923.23 × 5,568.87
  4. Step 4: Simplify right side
    6,461.60x = 49,692,341.31
  5. Step 5: Solve for x
    x = 49,692,341.31/6,461.60
  6. Step 6: Final answer
    x = 7,690.41

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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.