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Finding the Fourth Proportional to 7,513.84, 11,270.76 and 1,966.72

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Solution

The fourth proportional to 7,513.84, 11,270.76 and 1,966.72 is: 2,950.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,513.84 : 11,270.76 = 1,966.72 : x
  2. Step 2: Convert to fraction form
    7,513.84/11,270.76 = 1,966.72/x
  3. Step 3: Cross multiply
    7,513.84x = 11,270.76 × 1,966.72
  4. Step 4: Simplify right side
    7,513.84x = 22,166,429.11
  5. Step 5: Solve for x
    x = 22,166,429.11/7,513.84
  6. Step 6: Final answer
    x = 2,950.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.