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Finding the Fourth Proportional to 7,922.40, 10,935.64 and 4,566.55

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Solution

The fourth proportional to 7,922.40, 10,935.64 and 4,566.55 is: 6,303.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,922.40 : 10,935.64 = 4,566.55 : x
  2. Step 2: Convert to fraction form
    7,922.40/10,935.64 = 4,566.55/x
  3. Step 3: Cross multiply
    7,922.40x = 10,935.64 × 4,566.55
  4. Step 4: Simplify right side
    7,922.40x = 49,938,146.84
  5. Step 5: Solve for x
    x = 49,938,146.84/7,922.40
  6. Step 6: Final answer
    x = 6,303.41

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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.