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Finding the Fourth Proportional to 7,657.54, 10,567.46 and 4,471.81

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Solution

The fourth proportional to 7,657.54, 10,567.46 and 4,471.81 is: 6,171.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.54 : 10,567.46 = 4,471.81 : x
  2. Step 2: Convert to fraction form
    7,657.54/10,567.46 = 4,471.81/x
  3. Step 3: Cross multiply
    7,657.54x = 10,567.46 × 4,471.81
  4. Step 4: Simplify right side
    7,657.54x = 47,255,658.06
  5. Step 5: Solve for x
    x = 47,255,658.06/7,657.54
  6. Step 6: Final answer
    x = 6,171.13

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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.