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Finding the Fourth Proportional to 11,346.06, 15,653.08 and 6,565.13

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Solution

The fourth proportional to 11,346.06, 15,653.08 and 6,565.13 is: 9,057.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,346.06 : 15,653.08 = 6,565.13 : x
  2. Step 2: Convert to fraction form
    11,346.06/15,653.08 = 6,565.13/x
  3. Step 3: Cross multiply
    11,346.06x = 15,653.08 × 6,565.13
  4. Step 4: Simplify right side
    11,346.06x = 102,764,505.10
  5. Step 5: Solve for x
    x = 102,764,505.10/11,346.06
  6. Step 6: Final answer
    x = 9,057.29

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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.