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Finding the Fourth Proportional to 10,537.83, 14,543.73 and 6,289.07

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Solution

The fourth proportional to 10,537.83, 14,543.73 and 6,289.07 is: 8,679.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.83 : 14,543.73 = 6,289.07 : x
  2. Step 2: Convert to fraction form
    10,537.83/14,543.73 = 6,289.07/x
  3. Step 3: Cross multiply
    10,537.83x = 14,543.73 × 6,289.07
  4. Step 4: Simplify right side
    10,537.83x = 91,466,572.39
  5. Step 5: Solve for x
    x = 91,466,572.39/10,537.83
  6. Step 6: Final answer
    x = 8,679.83

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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.