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Finding the Fourth Proportional to 10,564.87, 15,844.74 and 5,303.08

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Solution

The fourth proportional to 10,564.87, 15,844.74 and 5,303.08 is: 7,953.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.87 : 15,844.74 = 5,303.08 : x
  2. Step 2: Convert to fraction form
    10,564.87/15,844.74 = 5,303.08/x
  3. Step 3: Cross multiply
    10,564.87x = 15,844.74 × 5,303.08
  4. Step 4: Simplify right side
    10,564.87x = 84,025,923.80
  5. Step 5: Solve for x
    x = 84,025,923.80/10,564.87
  6. Step 6: Final answer
    x = 7,953.33

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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.