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Finding the Fourth Proportional to 11,259.60, 15,532.74 and 7,284.12

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Solution

The fourth proportional to 11,259.60, 15,532.74 and 7,284.12 is: 10,048.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,259.60 : 15,532.74 = 7,284.12 : x
  2. Step 2: Convert to fraction form
    11,259.60/15,532.74 = 7,284.12/x
  3. Step 3: Cross multiply
    11,259.60x = 15,532.74 × 7,284.12
  4. Step 4: Simplify right side
    11,259.60x = 113,142,342.09
  5. Step 5: Solve for x
    x = 113,142,342.09/11,259.60
  6. Step 6: Final answer
    x = 10,048.52

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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.