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Finding the Fourth Proportional to 7,242.96, 10,869.93 and 4,776.96

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Solution

The fourth proportional to 7,242.96, 10,869.93 and 4,776.96 is: 7,169.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.96 : 10,869.93 = 4,776.96 : x
  2. Step 2: Convert to fraction form
    7,242.96/10,869.93 = 4,776.96/x
  3. Step 3: Cross multiply
    7,242.96x = 10,869.93 × 4,776.96
  4. Step 4: Simplify right side
    7,242.96x = 51,925,220.81
  5. Step 5: Solve for x
    x = 51,925,220.81/7,242.96
  6. Step 6: Final answer
    x = 7,169.06

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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.