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Finding the Fourth Proportional to 6,705.60, 10,051.92 and 2,319.76

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Solution

The fourth proportional to 6,705.60, 10,051.92 and 2,319.76 is: 3,477.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.60 : 10,051.92 = 2,319.76 : x
  2. Step 2: Convert to fraction form
    6,705.60/10,051.92 = 2,319.76/x
  3. Step 3: Cross multiply
    6,705.60x = 10,051.92 × 2,319.76
  4. Step 4: Simplify right side
    6,705.60x = 23,318,041.94
  5. Step 5: Solve for x
    x = 23,318,041.94/6,705.60
  6. Step 6: Final answer
    x = 3,477.40

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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.