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Finding the Fourth Proportional to 7,658.45, 11,483.06 and 3,440.93

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Solution

The fourth proportional to 7,658.45, 11,483.06 and 3,440.93 is: 5,159.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.45 : 11,483.06 = 3,440.93 : x
  2. Step 2: Convert to fraction form
    7,658.45/11,483.06 = 3,440.93/x
  3. Step 3: Cross multiply
    7,658.45x = 11,483.06 × 3,440.93
  4. Step 4: Simplify right side
    7,658.45x = 39,512,331.03
  5. Step 5: Solve for x
    x = 39,512,331.03/7,658.45
  6. Step 6: Final answer
    x = 5,159.32

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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.