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Finding the Fourth Proportional to 10,775.46, 14,869.81 and 6,529.03

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Solution

The fourth proportional to 10,775.46, 14,869.81 and 6,529.03 is: 9,009.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.46 : 14,869.81 = 6,529.03 : x
  2. Step 2: Convert to fraction form
    10,775.46/14,869.81 = 6,529.03/x
  3. Step 3: Cross multiply
    10,775.46x = 14,869.81 × 6,529.03
  4. Step 4: Simplify right side
    10,775.46x = 97,085,435.58
  5. Step 5: Solve for x
    x = 97,085,435.58/10,775.46
  6. Step 6: Final answer
    x = 9,009.86

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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.