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Finding the Fourth Proportional to 27,006.83, 40,510.28 and 7,285.40

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Solution

The fourth proportional to 27,006.83, 40,510.28 and 7,285.40 is: 10,928.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,006.83 : 40,510.28 = 7,285.40 : x
  2. Step 2: Convert to fraction form
    27,006.83/40,510.28 = 7,285.40/x
  3. Step 3: Cross multiply
    27,006.83x = 40,510.28 × 7,285.40
  4. Step 4: Simplify right side
    27,006.83x = 295,133,658.76
  5. Step 5: Solve for x
    x = 295,133,658.76/27,006.83
  6. Step 6: Final answer
    x = 10,928.11

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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.