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Finding the Fourth Proportional to 7,656.30, 11,477.70 and 4,528.62

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Solution

The fourth proportional to 7,656.30, 11,477.70 and 4,528.62 is: 6,788.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.30 : 11,477.70 = 4,528.62 : x
  2. Step 2: Convert to fraction form
    7,656.30/11,477.70 = 4,528.62/x
  3. Step 3: Cross multiply
    7,656.30x = 11,477.70 × 4,528.62
  4. Step 4: Simplify right side
    7,656.30x = 51,978,141.77
  5. Step 5: Solve for x
    x = 51,978,141.77/7,656.30
  6. Step 6: Final answer
    x = 6,788.94

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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.