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Finding the Fourth Proportional to 6,980.60, 10,455.42 and 4,051.64

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Solution

The fourth proportional to 6,980.60, 10,455.42 and 4,051.64 is: 6,068.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.60 : 10,455.42 = 4,051.64 : x
  2. Step 2: Convert to fraction form
    6,980.60/10,455.42 = 4,051.64/x
  3. Step 3: Cross multiply
    6,980.60x = 10,455.42 × 4,051.64
  4. Step 4: Simplify right side
    6,980.60x = 42,361,597.89
  5. Step 5: Solve for x
    x = 42,361,597.89/6,980.60
  6. Step 6: Final answer
    x = 6,068.48

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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.