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Finding the Fourth Proportional to 8,897.24, 13,357.20 and 7,257

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Solution

The fourth proportional to 8,897.24, 13,357.20 and 7,257 is: 10,894.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,897.24 : 13,357.20 = 7,257 : x
  2. Step 2: Convert to fraction form
    8,897.24/13,357.20 = 7,257/x
  3. Step 3: Cross multiply
    8,897.24x = 13,357.20 × 7,257
  4. Step 4: Simplify right side
    8,897.24x = 96,933,200.40
  5. Step 5: Solve for x
    x = 96,933,200.40/8,897.24
  6. Step 6: Final answer
    x = 10,894.75

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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.