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Finding the Fourth Proportional to 8,802.76, 13,204.14 and 4,122.76

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Solution

The fourth proportional to 8,802.76, 13,204.14 and 4,122.76 is: 6,184.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,802.76 : 13,204.14 = 4,122.76 : x
  2. Step 2: Convert to fraction form
    8,802.76/13,204.14 = 4,122.76/x
  3. Step 3: Cross multiply
    8,802.76x = 13,204.14 × 4,122.76
  4. Step 4: Simplify right side
    8,802.76x = 54,437,500.23
  5. Step 5: Solve for x
    x = 54,437,500.23/8,802.76
  6. Step 6: Final answer
    x = 6,184.14

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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.