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Finding the Fourth Proportional to 10,477.03, 15,712.89 and 4,235.20

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Solution

The fourth proportional to 10,477.03, 15,712.89 and 4,235.20 is: 6,351.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.03 : 15,712.89 = 4,235.20 : x
  2. Step 2: Convert to fraction form
    10,477.03/15,712.89 = 4,235.20/x
  3. Step 3: Cross multiply
    10,477.03x = 15,712.89 × 4,235.20
  4. Step 4: Simplify right side
    10,477.03x = 66,547,231.73
  5. Step 5: Solve for x
    x = 66,547,231.73/10,477.03
  6. Step 6: Final answer
    x = 6,351.73

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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.