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Finding the Fourth Proportional to 8,158.48, 11,248.74 and 6,897.28

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Solution

The fourth proportional to 8,158.48, 11,248.74 and 6,897.28 is: 9,509.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,158.48 : 11,248.74 = 6,897.28 : x
  2. Step 2: Convert to fraction form
    8,158.48/11,248.74 = 6,897.28/x
  3. Step 3: Cross multiply
    8,158.48x = 11,248.74 × 6,897.28
  4. Step 4: Simplify right side
    8,158.48x = 77,585,709.43
  5. Step 5: Solve for x
    x = 77,585,709.43/8,158.48
  6. Step 6: Final answer
    x = 9,509.82

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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.