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Finding the Fourth Proportional to 7,583.69, 11,366.46 and 4,952.45

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Solution

The fourth proportional to 7,583.69, 11,366.46 and 4,952.45 is: 7,422.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,583.69 : 11,366.46 = 4,952.45 : x
  2. Step 2: Convert to fraction form
    7,583.69/11,366.46 = 4,952.45/x
  3. Step 3: Cross multiply
    7,583.69x = 11,366.46 × 4,952.45
  4. Step 4: Simplify right side
    7,583.69x = 56,291,824.83
  5. Step 5: Solve for x
    x = 56,291,824.83/7,583.69
  6. Step 6: Final answer
    x = 7,422.75

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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.