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Finding the Fourth Proportional to 10,705.70, 16,051.35 and 4,859.30

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Solution

The fourth proportional to 10,705.70, 16,051.35 and 4,859.30 is: 7,285.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.70 : 16,051.35 = 4,859.30 : x
  2. Step 2: Convert to fraction form
    10,705.70/16,051.35 = 4,859.30/x
  3. Step 3: Cross multiply
    10,705.70x = 16,051.35 × 4,859.30
  4. Step 4: Simplify right side
    10,705.70x = 77,998,325.06
  5. Step 5: Solve for x
    x = 77,998,325.06/10,705.70
  6. Step 6: Final answer
    x = 7,285.68

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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.