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Finding the Fourth Proportional to 10,124.89, 13,973.27 and 6,147.01

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Solution

The fourth proportional to 10,124.89, 13,973.27 and 6,147.01 is: 8,483.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,124.89 : 13,973.27 = 6,147.01 : x
  2. Step 2: Convert to fraction form
    10,124.89/13,973.27 = 6,147.01/x
  3. Step 3: Cross multiply
    10,124.89x = 13,973.27 × 6,147.01
  4. Step 4: Simplify right side
    10,124.89x = 85,893,830.42
  5. Step 5: Solve for x
    x = 85,893,830.42/10,124.89
  6. Step 6: Final answer
    x = 8,483.43

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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.