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Finding the Fourth Proportional to 7,602.47, 11,397.83 and 4,823.36

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Solution

The fourth proportional to 7,602.47, 11,397.83 and 4,823.36 is: 7,231.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.47 : 11,397.83 = 4,823.36 : x
  2. Step 2: Convert to fraction form
    7,602.47/11,397.83 = 4,823.36/x
  3. Step 3: Cross multiply
    7,602.47x = 11,397.83 × 4,823.36
  4. Step 4: Simplify right side
    7,602.47x = 54,975,756.20
  5. Step 5: Solve for x
    x = 54,975,756.20/7,602.47
  6. Step 6: Final answer
    x = 7,231.31

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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.