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Finding the Fourth Proportional to 10,486.79, 14,471.35 and 6,007.43

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Solution

The fourth proportional to 10,486.79, 14,471.35 and 6,007.43 is: 8,290.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.79 : 14,471.35 = 6,007.43 : x
  2. Step 2: Convert to fraction form
    10,486.79/14,471.35 = 6,007.43/x
  3. Step 3: Cross multiply
    10,486.79x = 14,471.35 × 6,007.43
  4. Step 4: Simplify right side
    10,486.79x = 86,935,622.13
  5. Step 5: Solve for x
    x = 86,935,622.13/10,486.79
  6. Step 6: Final answer
    x = 8,290.01

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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.