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Finding the Fourth Proportional to 10,401.49, 14,352.95 and 6,152.71

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Solution

The fourth proportional to 10,401.49, 14,352.95 and 6,152.71 is: 8,490.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,401.49 : 14,352.95 = 6,152.71 : x
  2. Step 2: Convert to fraction form
    10,401.49/14,352.95 = 6,152.71/x
  3. Step 3: Cross multiply
    10,401.49x = 14,352.95 × 6,152.71
  4. Step 4: Simplify right side
    10,401.49x = 88,309,510.80
  5. Step 5: Solve for x
    x = 88,309,510.80/10,401.49
  6. Step 6: Final answer
    x = 8,490.08

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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.