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Finding the Fourth Proportional to 12,864.96, 17,756.64 and 7,277.76

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Solution

The fourth proportional to 12,864.96, 17,756.64 and 7,277.76 is: 10,045.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,864.96 : 17,756.64 = 7,277.76 : x
  2. Step 2: Convert to fraction form
    12,864.96/17,756.64 = 7,277.76/x
  3. Step 3: Cross multiply
    12,864.96x = 17,756.64 × 7,277.76
  4. Step 4: Simplify right side
    12,864.96x = 129,228,564.33
  5. Step 5: Solve for x
    x = 129,228,564.33/12,864.96
  6. Step 6: Final answer
    x = 10,045.00

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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.