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Finding the Fourth Proportional to 7,570.64, 11,355.10 and 2,024.42

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Solution

The fourth proportional to 7,570.64, 11,355.10 and 2,024.42 is: 3,036.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.64 : 11,355.10 = 2,024.42 : x
  2. Step 2: Convert to fraction form
    7,570.64/11,355.10 = 2,024.42/x
  3. Step 3: Cross multiply
    7,570.64x = 11,355.10 × 2,024.42
  4. Step 4: Simplify right side
    7,570.64x = 22,987,511.71
  5. Step 5: Solve for x
    x = 22,987,511.71/7,570.64
  6. Step 6: Final answer
    x = 3,036.40

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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.