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Finding the Fourth Proportional to 4,670.13, 7,005.20 and 1,160.13

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Solution

The fourth proportional to 4,670.13, 7,005.20 and 1,160.13 is: 1,740.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.13 : 7,005.20 = 1,160.13 : x
  2. Step 2: Convert to fraction form
    4,670.13/7,005.20 = 1,160.13/x
  3. Step 3: Cross multiply
    4,670.13x = 7,005.20 × 1,160.13
  4. Step 4: Simplify right side
    4,670.13x = 8,126,936.88
  5. Step 5: Solve for x
    x = 8,126,936.88/4,670.13
  6. Step 6: Final answer
    x = 1,740.20

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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.