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Finding the Fourth Proportional to 7,266.40, 10,032.60 and 5,584.88

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Solution

The fourth proportional to 7,266.40, 10,032.60 and 5,584.88 is: 7,710.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,266.40 : 10,032.60 = 5,584.88 : x
  2. Step 2: Convert to fraction form
    7,266.40/10,032.60 = 5,584.88/x
  3. Step 3: Cross multiply
    7,266.40x = 10,032.60 × 5,584.88
  4. Step 4: Simplify right side
    7,266.40x = 56,030,867.09
  5. Step 5: Solve for x
    x = 56,030,867.09/7,266.40
  6. Step 6: Final answer
    x = 7,710.95

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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.