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Finding the Fourth Proportional to 10,021.96, 13,815.64 and 7,028.76

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Solution

The fourth proportional to 10,021.96, 13,815.64 and 7,028.76 is: 9,689.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,021.96 : 13,815.64 = 7,028.76 : x
  2. Step 2: Convert to fraction form
    10,021.96/13,815.64 = 7,028.76/x
  3. Step 3: Cross multiply
    10,021.96x = 13,815.64 × 7,028.76
  4. Step 4: Simplify right side
    10,021.96x = 97,106,817.81
  5. Step 5: Solve for x
    x = 97,106,817.81/10,021.96
  6. Step 6: Final answer
    x = 9,689.40

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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.