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Finding the Fourth Proportional to 7,051.66, 10,564.63 and 3,296.50

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Solution

The fourth proportional to 7,051.66, 10,564.63 and 3,296.50 is: 4,938.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.66 : 10,564.63 = 3,296.50 : x
  2. Step 2: Convert to fraction form
    7,051.66/10,564.63 = 3,296.50/x
  3. Step 3: Cross multiply
    7,051.66x = 10,564.63 × 3,296.50
  4. Step 4: Simplify right side
    7,051.66x = 34,826,268.14
  5. Step 5: Solve for x
    x = 34,826,268.14/7,051.66
  6. Step 6: Final answer
    x = 4,938.74

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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.