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Finding the Fourth Proportional to 10,524.80, 14,541.66 and 8,303.58

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Solution

The fourth proportional to 10,524.80, 14,541.66 and 8,303.58 is: 11,472.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.80 : 14,541.66 = 8,303.58 : x
  2. Step 2: Convert to fraction form
    10,524.80/14,541.66 = 8,303.58/x
  3. Step 3: Cross multiply
    10,524.80x = 14,541.66 × 8,303.58
  4. Step 4: Simplify right side
    10,524.80x = 120,747,837.14
  5. Step 5: Solve for x
    x = 120,747,837.14/10,524.80
  6. Step 6: Final answer
    x = 11,472.69

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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.