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Finding the Fourth Proportional to 11,407.71, 15,740.96 and 6,693.51

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Solution

The fourth proportional to 11,407.71, 15,740.96 and 6,693.51 is: 9,236.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.71 : 15,740.96 = 6,693.51 : x
  2. Step 2: Convert to fraction form
    11,407.71/15,740.96 = 6,693.51/x
  3. Step 3: Cross multiply
    11,407.71x = 15,740.96 × 6,693.51
  4. Step 4: Simplify right side
    11,407.71x = 105,362,239.70
  5. Step 5: Solve for x
    x = 105,362,239.70/11,407.71
  6. Step 6: Final answer
    x = 9,236.06

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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.