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Finding the Fourth Proportional to 11,798.47, 16,281.30 and 6,492.43

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Solution

The fourth proportional to 11,798.47, 16,281.30 and 6,492.43 is: 8,959.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,798.47 : 16,281.30 = 6,492.43 : x
  2. Step 2: Convert to fraction form
    11,798.47/16,281.30 = 6,492.43/x
  3. Step 3: Cross multiply
    11,798.47x = 16,281.30 × 6,492.43
  4. Step 4: Simplify right side
    11,798.47x = 105,705,200.56
  5. Step 5: Solve for x
    x = 105,705,200.56/11,798.47
  6. Step 6: Final answer
    x = 8,959.23

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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.