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Finding the Fourth Proportional to 11,670.70, 16,100.96 and 6,565.02

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Solution

The fourth proportional to 11,670.70, 16,100.96 and 6,565.02 is: 9,057.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,670.70 : 16,100.96 = 6,565.02 : x
  2. Step 2: Convert to fraction form
    11,670.70/16,100.96 = 6,565.02/x
  3. Step 3: Cross multiply
    11,670.70x = 16,100.96 × 6,565.02
  4. Step 4: Simplify right side
    11,670.70x = 105,703,124.42
  5. Step 5: Solve for x
    x = 105,703,124.42/11,670.70
  6. Step 6: Final answer
    x = 9,057.14

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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.