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Finding the Fourth Proportional to 10,494.82, 15,735.39 and 4,870.18

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Solution

The fourth proportional to 10,494.82, 15,735.39 and 4,870.18 is: 7,302.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.82 : 15,735.39 = 4,870.18 : x
  2. Step 2: Convert to fraction form
    10,494.82/15,735.39 = 4,870.18/x
  3. Step 3: Cross multiply
    10,494.82x = 15,735.39 × 4,870.18
  4. Step 4: Simplify right side
    10,494.82x = 76,634,181.67
  5. Step 5: Solve for x
    x = 76,634,181.67/10,494.82
  6. Step 6: Final answer
    x = 7,302.10

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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.