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Finding the Fourth Proportional to 7,657.34, 10,567.73 and 4,300.37

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Solution

The fourth proportional to 7,657.34, 10,567.73 and 4,300.37 is: 5,934.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.34 : 10,567.73 = 4,300.37 : x
  2. Step 2: Convert to fraction form
    7,657.34/10,567.73 = 4,300.37/x
  3. Step 3: Cross multiply
    7,657.34x = 10,567.73 × 4,300.37
  4. Step 4: Simplify right side
    7,657.34x = 45,445,149.06
  5. Step 5: Solve for x
    x = 45,445,149.06/7,657.34
  6. Step 6: Final answer
    x = 5,934.85

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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.