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Finding the Fourth Proportional to 6,999.60, 10,477.80 and 4,069.20

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Solution

The fourth proportional to 6,999.60, 10,477.80 and 4,069.20 is: 6,091.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,999.60 : 10,477.80 = 4,069.20 : x
  2. Step 2: Convert to fraction form
    6,999.60/10,477.80 = 4,069.20/x
  3. Step 3: Cross multiply
    6,999.60x = 10,477.80 × 4,069.20
  4. Step 4: Simplify right side
    6,999.60x = 42,636,263.76
  5. Step 5: Solve for x
    x = 42,636,263.76/6,999.60
  6. Step 6: Final answer
    x = 6,091.24

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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.