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Finding the Fourth Proportional to 11,658.63, 17,487.47 and 4,638.36

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Solution

The fourth proportional to 11,658.63, 17,487.47 and 4,638.36 is: 6,957.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.63 : 17,487.47 = 4,638.36 : x
  2. Step 2: Convert to fraction form
    11,658.63/17,487.47 = 4,638.36/x
  3. Step 3: Cross multiply
    11,658.63x = 17,487.47 × 4,638.36
  4. Step 4: Simplify right side
    11,658.63x = 81,113,158.16
  5. Step 5: Solve for x
    x = 81,113,158.16/11,658.63
  6. Step 6: Final answer
    x = 6,957.35

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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.