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Finding the Fourth Proportional to 10,500.60, 14,490 and 6,193.02

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Solution

The fourth proportional to 10,500.60, 14,490 and 6,193.02 is: 8,545.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500.60 : 14,490 = 6,193.02 : x
  2. Step 2: Convert to fraction form
    10,500.60/14,490 = 6,193.02/x
  3. Step 3: Cross multiply
    10,500.60x = 14,490 × 6,193.02
  4. Step 4: Simplify right side
    10,500.60x = 89,736,859.80
  5. Step 5: Solve for x
    x = 89,736,859.80/10,500.60
  6. Step 6: Final answer
    x = 8,545.88

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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.