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Finding the Fourth Proportional to 7,689.60, 11,533.44 and 2,495.04

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Solution

The fourth proportional to 7,689.60, 11,533.44 and 2,495.04 is: 3,742.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689.60 : 11,533.44 = 2,495.04 : x
  2. Step 2: Convert to fraction form
    7,689.60/11,533.44 = 2,495.04/x
  3. Step 3: Cross multiply
    7,689.60x = 11,533.44 × 2,495.04
  4. Step 4: Simplify right side
    7,689.60x = 28,776,394.14
  5. Step 5: Solve for x
    x = 28,776,394.14/7,689.60
  6. Step 6: Final answer
    x = 3,742.25

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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.