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Finding the Fourth Proportional to 10,601.76, 14,637.06 and 6,826.80

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Solution

The fourth proportional to 10,601.76, 14,637.06 and 6,826.80 is: 9,425.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,601.76 : 14,637.06 = 6,826.80 : x
  2. Step 2: Convert to fraction form
    10,601.76/14,637.06 = 6,826.80/x
  3. Step 3: Cross multiply
    10,601.76x = 14,637.06 × 6,826.80
  4. Step 4: Simplify right side
    10,601.76x = 99,924,281.21
  5. Step 5: Solve for x
    x = 99,924,281.21/10,601.76
  6. Step 6: Final answer
    x = 9,425.25

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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.