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Finding the Fourth Proportional to 10,570.64, 15,844.02 and 5,016.28

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Solution

The fourth proportional to 10,570.64, 15,844.02 and 5,016.28 is: 7,518.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,570.64 : 15,844.02 = 5,016.28 : x
  2. Step 2: Convert to fraction form
    10,570.64/15,844.02 = 5,016.28/x
  3. Step 3: Cross multiply
    10,570.64x = 15,844.02 × 5,016.28
  4. Step 4: Simplify right side
    10,570.64x = 79,478,040.65
  5. Step 5: Solve for x
    x = 79,478,040.65/10,570.64
  6. Step 6: Final answer
    x = 7,518.75

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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.