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Finding the Fourth Proportional to 10,160.52, 14,030.17 and 6,390

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Solution

The fourth proportional to 10,160.52, 14,030.17 and 6,390 is: 8,823.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,160.52 : 14,030.17 = 6,390 : x
  2. Step 2: Convert to fraction form
    10,160.52/14,030.17 = 6,390/x
  3. Step 3: Cross multiply
    10,160.52x = 14,030.17 × 6,390
  4. Step 4: Simplify right side
    10,160.52x = 89,652,786.30
  5. Step 5: Solve for x
    x = 89,652,786.30/10,160.52
  6. Step 6: Final answer
    x = 8,823.64

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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.