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Finding the Fourth Proportional to 8,638.06, 11,931.28 and 7,798.36

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Solution

The fourth proportional to 8,638.06, 11,931.28 and 7,798.36 is: 10,771.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,638.06 : 11,931.28 = 7,798.36 : x
  2. Step 2: Convert to fraction form
    8,638.06/11,931.28 = 7,798.36/x
  3. Step 3: Cross multiply
    8,638.06x = 11,931.28 × 7,798.36
  4. Step 4: Simplify right side
    8,638.06x = 93,044,416.70
  5. Step 5: Solve for x
    x = 93,044,416.70/8,638.06
  6. Step 6: Final answer
    x = 10,771.45

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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.