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Finding the Fourth Proportional to 8,670.48, 13,007 and 2,513.68

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Solution

The fourth proportional to 8,670.48, 13,007 and 2,513.68 is: 3,770.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670.48 : 13,007 = 2,513.68 : x
  2. Step 2: Convert to fraction form
    8,670.48/13,007 = 2,513.68/x
  3. Step 3: Cross multiply
    8,670.48x = 13,007 × 2,513.68
  4. Step 4: Simplify right side
    8,670.48x = 32,695,435.76
  5. Step 5: Solve for x
    x = 32,695,435.76/8,670.48
  6. Step 6: Final answer
    x = 3,770.89

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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.