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Finding the Fourth Proportional to 11,154.70, 16,730.52 and 7,812.82

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Solution

The fourth proportional to 11,154.70, 16,730.52 and 7,812.82 is: 11,718.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,154.70 : 16,730.52 = 7,812.82 : x
  2. Step 2: Convert to fraction form
    11,154.70/16,730.52 = 7,812.82/x
  3. Step 3: Cross multiply
    11,154.70x = 16,730.52 × 7,812.82
  4. Step 4: Simplify right side
    11,154.70x = 130,712,541.27
  5. Step 5: Solve for x
    x = 130,712,541.27/11,154.70
  6. Step 6: Final answer
    x = 11,718.16

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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.