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Finding the Fourth Proportional to 7,594.46, 10,475.96 and 4,567.48

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Solution

The fourth proportional to 7,594.46, 10,475.96 and 4,567.48 is: 6,300.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,594.46 : 10,475.96 = 4,567.48 : x
  2. Step 2: Convert to fraction form
    7,594.46/10,475.96 = 4,567.48/x
  3. Step 3: Cross multiply
    7,594.46x = 10,475.96 × 4,567.48
  4. Step 4: Simplify right side
    7,594.46x = 47,848,737.78
  5. Step 5: Solve for x
    x = 47,848,737.78/7,594.46
  6. Step 6: Final answer
    x = 6,300.48

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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.