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Finding the Fourth Proportional to 10,939.19, 16,421.06 and 6,506.46

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Solution

The fourth proportional to 10,939.19, 16,421.06 and 6,506.46 is: 9,767.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,939.19 : 16,421.06 = 6,506.46 : x
  2. Step 2: Convert to fraction form
    10,939.19/16,421.06 = 6,506.46/x
  3. Step 3: Cross multiply
    10,939.19x = 16,421.06 × 6,506.46
  4. Step 4: Simplify right side
    10,939.19x = 106,842,986.31
  5. Step 5: Solve for x
    x = 106,842,986.31/10,939.19
  6. Step 6: Final answer
    x = 9,767.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.