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Finding the Fourth Proportional to 11,359.60, 15,679 and 7,582.96

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Solution

The fourth proportional to 11,359.60, 15,679 and 7,582.96 is: 10,466.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,359.60 : 15,679 = 7,582.96 : x
  2. Step 2: Convert to fraction form
    11,359.60/15,679 = 7,582.96/x
  3. Step 3: Cross multiply
    11,359.60x = 15,679 × 7,582.96
  4. Step 4: Simplify right side
    11,359.60x = 118,893,229.84
  5. Step 5: Solve for x
    x = 118,893,229.84/11,359.60
  6. Step 6: Final answer
    x = 10,466.32

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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.