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Finding the Fourth Proportional to 11,670.70, 17,507.14 and 4,649.02

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Solution

The fourth proportional to 11,670.70, 17,507.14 and 4,649.02 is: 6,973.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,670.70 : 17,507.14 = 4,649.02 : x
  2. Step 2: Convert to fraction form
    11,670.70/17,507.14 = 4,649.02/x
  3. Step 3: Cross multiply
    11,670.70x = 17,507.14 × 4,649.02
  4. Step 4: Simplify right side
    11,670.70x = 81,391,044.00
  5. Step 5: Solve for x
    x = 81,391,044.00/11,670.70
  6. Step 6: Final answer
    x = 6,973.96

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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.