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Finding the Fourth Proportional to 10,776.81, 16,154.72 and 5,153.01

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Solution

The fourth proportional to 10,776.81, 16,154.72 and 5,153.01 is: 7,724.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,776.81 : 16,154.72 = 5,153.01 : x
  2. Step 2: Convert to fraction form
    10,776.81/16,154.72 = 5,153.01/x
  3. Step 3: Cross multiply
    10,776.81x = 16,154.72 × 5,153.01
  4. Step 4: Simplify right side
    10,776.81x = 83,245,433.71
  5. Step 5: Solve for x
    x = 83,245,433.71/10,776.81
  6. Step 6: Final answer
    x = 7,724.50

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Why These Related Problems?

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