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Finding the Fourth Proportional to 7,289.29, 10,933.29 and 4,365.46

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Solution

The fourth proportional to 7,289.29, 10,933.29 and 4,365.46 is: 6,547.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,289.29 : 10,933.29 = 4,365.46 : x
  2. Step 2: Convert to fraction form
    7,289.29/10,933.29 = 4,365.46/x
  3. Step 3: Cross multiply
    7,289.29x = 10,933.29 × 4,365.46
  4. Step 4: Simplify right side
    7,289.29x = 47,728,840.16
  5. Step 5: Solve for x
    x = 47,728,840.16/7,289.29
  6. Step 6: Final answer
    x = 6,547.80

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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.