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Finding the Fourth Proportional to 10,035.34, 13,848.53 and 5,558.82

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Solution

The fourth proportional to 10,035.34, 13,848.53 and 5,558.82 is: 7,671.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,035.34 : 13,848.53 = 5,558.82 : x
  2. Step 2: Convert to fraction form
    10,035.34/13,848.53 = 5,558.82/x
  3. Step 3: Cross multiply
    10,035.34x = 13,848.53 × 5,558.82
  4. Step 4: Simplify right side
    10,035.34x = 76,981,485.53
  5. Step 5: Solve for x
    x = 76,981,485.53/10,035.34
  6. Step 6: Final answer
    x = 7,671.04

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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.