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Finding the Fourth Proportional to 7,714.73, 11,570.63 and 3,762.02

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Solution

The fourth proportional to 7,714.73, 11,570.63 and 3,762.02 is: 5,642.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.73 : 11,570.63 = 3,762.02 : x
  2. Step 2: Convert to fraction form
    7,714.73/11,570.63 = 3,762.02/x
  3. Step 3: Cross multiply
    7,714.73x = 11,570.63 × 3,762.02
  4. Step 4: Simplify right side
    7,714.73x = 43,528,941.47
  5. Step 5: Solve for x
    x = 43,528,941.47/7,714.73
  6. Step 6: Final answer
    x = 5,642.32

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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.