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Finding the Fourth Proportional to 11,482.60, 15,842.10 and 7,293.28

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Solution

The fourth proportional to 11,482.60, 15,842.10 and 7,293.28 is: 10,062.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,482.60 : 15,842.10 = 7,293.28 : x
  2. Step 2: Convert to fraction form
    11,482.60/15,842.10 = 7,293.28/x
  3. Step 3: Cross multiply
    11,482.60x = 15,842.10 × 7,293.28
  4. Step 4: Simplify right side
    11,482.60x = 115,540,871.09
  5. Step 5: Solve for x
    x = 115,540,871.09/11,482.60
  6. Step 6: Final answer
    x = 10,062.26

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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.