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Finding the Fourth Proportional to 10,738.71, 14,818.95 and 6,490.80

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Solution

The fourth proportional to 10,738.71, 14,818.95 and 6,490.80 is: 8,957.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,738.71 : 14,818.95 = 6,490.80 : x
  2. Step 2: Convert to fraction form
    10,738.71/14,818.95 = 6,490.80/x
  3. Step 3: Cross multiply
    10,738.71x = 14,818.95 × 6,490.80
  4. Step 4: Simplify right side
    10,738.71x = 96,186,840.66
  5. Step 5: Solve for x
    x = 96,186,840.66/10,738.71
  6. Step 6: Final answer
    x = 8,957.02

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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.