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Finding the Fourth Proportional to 10,035.20, 13,848.06 and 5,497.76

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Solution

The fourth proportional to 10,035.20, 13,848.06 and 5,497.76 is: 7,586.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,035.20 : 13,848.06 = 5,497.76 : x
  2. Step 2: Convert to fraction form
    10,035.20/13,848.06 = 5,497.76/x
  3. Step 3: Cross multiply
    10,035.20x = 13,848.06 × 5,497.76
  4. Step 4: Simplify right side
    10,035.20x = 76,133,310.35
  5. Step 5: Solve for x
    x = 76,133,310.35/10,035.20
  6. Step 6: Final answer
    x = 7,586.63

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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.