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Finding the Fourth Proportional to 10,489.94, 14,471.49 and 6,503.06

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Solution

The fourth proportional to 10,489.94, 14,471.49 and 6,503.06 is: 8,971.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.94 : 14,471.49 = 6,503.06 : x
  2. Step 2: Convert to fraction form
    10,489.94/14,471.49 = 6,503.06/x
  3. Step 3: Cross multiply
    10,489.94x = 14,471.49 × 6,503.06
  4. Step 4: Simplify right side
    10,489.94x = 94,108,967.76
  5. Step 5: Solve for x
    x = 94,108,967.76/10,489.94
  6. Step 6: Final answer
    x = 8,971.35

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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.