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Finding the Fourth Proportional to 8,460.34, 12,697.02 and 4,765.82

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Solution

The fourth proportional to 8,460.34, 12,697.02 and 4,765.82 is: 7,152.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,460.34 : 12,697.02 = 4,765.82 : x
  2. Step 2: Convert to fraction form
    8,460.34/12,697.02 = 4,765.82/x
  3. Step 3: Cross multiply
    8,460.34x = 12,697.02 × 4,765.82
  4. Step 4: Simplify right side
    8,460.34x = 60,511,711.86
  5. Step 5: Solve for x
    x = 60,511,711.86/8,460.34
  6. Step 6: Final answer
    x = 7,152.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.