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Finding the Fourth Proportional to 10,442.06, 15,663.72 and 4,202.06

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Solution

The fourth proportional to 10,442.06, 15,663.72 and 4,202.06 is: 6,303.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.06 : 15,663.72 = 4,202.06 : x
  2. Step 2: Convert to fraction form
    10,442.06/15,663.72 = 4,202.06/x
  3. Step 3: Cross multiply
    10,442.06x = 15,663.72 × 4,202.06
  4. Step 4: Simplify right side
    10,442.06x = 65,819,812.94
  5. Step 5: Solve for x
    x = 65,819,812.94/10,442.06
  6. Step 6: Final answer
    x = 6,303.34

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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.