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Finding the Fourth Proportional to 8,208.80, 12,302.40 and 5,897.60

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Solution

The fourth proportional to 8,208.80, 12,302.40 and 5,897.60 is: 8,838.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,208.80 : 12,302.40 = 5,897.60 : x
  2. Step 2: Convert to fraction form
    8,208.80/12,302.40 = 5,897.60/x
  3. Step 3: Cross multiply
    8,208.80x = 12,302.40 × 5,897.60
  4. Step 4: Simplify right side
    8,208.80x = 72,554,634.24
  5. Step 5: Solve for x
    x = 72,554,634.24/8,208.80
  6. Step 6: Final answer
    x = 8,838.64

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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.