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Finding the Fourth Proportional to 7,454.69, 10,289.33 and 4,312.70

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Solution

The fourth proportional to 7,454.69, 10,289.33 and 4,312.70 is: 5,952.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,454.69 : 10,289.33 = 4,312.70 : x
  2. Step 2: Convert to fraction form
    7,454.69/10,289.33 = 4,312.70/x
  3. Step 3: Cross multiply
    7,454.69x = 10,289.33 × 4,312.70
  4. Step 4: Simplify right side
    7,454.69x = 44,374,793.49
  5. Step 5: Solve for x
    x = 44,374,793.49/7,454.69
  6. Step 6: Final answer
    x = 5,952.60

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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.