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Finding the Fourth Proportional to 7,975.48, 11,006.76 and 4,619.20

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Solution

The fourth proportional to 7,975.48, 11,006.76 and 4,619.20 is: 6,374.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,975.48 : 11,006.76 = 4,619.20 : x
  2. Step 2: Convert to fraction form
    7,975.48/11,006.76 = 4,619.20/x
  3. Step 3: Cross multiply
    7,975.48x = 11,006.76 × 4,619.20
  4. Step 4: Simplify right side
    7,975.48x = 50,842,425.79
  5. Step 5: Solve for x
    x = 50,842,425.79/7,975.48
  6. Step 6: Final answer
    x = 6,374.84

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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.