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Finding the Fourth Proportional to 8,483.42, 11,705.36 and 5,498.84

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Solution

The fourth proportional to 8,483.42, 11,705.36 and 5,498.84 is: 7,587.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,483.42 : 11,705.36 = 5,498.84 : x
  2. Step 2: Convert to fraction form
    8,483.42/11,705.36 = 5,498.84/x
  3. Step 3: Cross multiply
    8,483.42x = 11,705.36 × 5,498.84
  4. Step 4: Simplify right side
    8,483.42x = 64,365,901.78
  5. Step 5: Solve for x
    x = 64,365,901.78/8,483.42
  6. Step 6: Final answer
    x = 7,587.26

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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.