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Finding the Fourth Proportional to 12,962.16, 17,881.56 and 8,483.94

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Solution

The fourth proportional to 12,962.16, 17,881.56 and 8,483.94 is: 11,703.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,962.16 : 17,881.56 = 8,483.94 : x
  2. Step 2: Convert to fraction form
    12,962.16/17,881.56 = 8,483.94/x
  3. Step 3: Cross multiply
    12,962.16x = 17,881.56 × 8,483.94
  4. Step 4: Simplify right side
    12,962.16x = 151,706,082.15
  5. Step 5: Solve for x
    x = 151,706,082.15/12,962.16
  6. Step 6: Final answer
    x = 11,703.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.