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Finding the Fourth Proportional to 7,870.36, 10,861.74 and 4,726.48

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Solution

The fourth proportional to 7,870.36, 10,861.74 and 4,726.48 is: 6,522.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.36 : 10,861.74 = 4,726.48 : x
  2. Step 2: Convert to fraction form
    7,870.36/10,861.74 = 4,726.48/x
  3. Step 3: Cross multiply
    7,870.36x = 10,861.74 × 4,726.48
  4. Step 4: Simplify right side
    7,870.36x = 51,337,796.88
  5. Step 5: Solve for x
    x = 51,337,796.88/7,870.36
  6. Step 6: Final answer
    x = 6,522.93

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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.