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Finding the Fourth Proportional to 7,842.18, 11,762.46 and 4,911.60

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Solution

The fourth proportional to 7,842.18, 11,762.46 and 4,911.60 is: 7,366.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.18 : 11,762.46 = 4,911.60 : x
  2. Step 2: Convert to fraction form
    7,842.18/11,762.46 = 4,911.60/x
  3. Step 3: Cross multiply
    7,842.18x = 11,762.46 × 4,911.60
  4. Step 4: Simplify right side
    7,842.18x = 57,772,498.54
  5. Step 5: Solve for x
    x = 57,772,498.54/7,842.18
  6. Step 6: Final answer
    x = 7,366.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.