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Finding the Fourth Proportional to 8,283.78, 12,430.53 and 3,090.06

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Solution

The fourth proportional to 8,283.78, 12,430.53 and 3,090.06 is: 4,636.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.78 : 12,430.53 = 3,090.06 : x
  2. Step 2: Convert to fraction form
    8,283.78/12,430.53 = 3,090.06/x
  3. Step 3: Cross multiply
    8,283.78x = 12,430.53 × 3,090.06
  4. Step 4: Simplify right side
    8,283.78x = 38,411,083.53
  5. Step 5: Solve for x
    x = 38,411,083.53/8,283.78
  6. Step 6: Final answer
    x = 4,636.90

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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.