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Finding the Fourth Proportional to 11,590.98, 17,386.56 and 2,825.88

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Solution

The fourth proportional to 11,590.98, 17,386.56 and 2,825.88 is: 4,238.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,590.98 : 17,386.56 = 2,825.88 : x
  2. Step 2: Convert to fraction form
    11,590.98/17,386.56 = 2,825.88/x
  3. Step 3: Cross multiply
    11,590.98x = 17,386.56 × 2,825.88
  4. Step 4: Simplify right side
    11,590.98x = 49,132,332.17
  5. Step 5: Solve for x
    x = 49,132,332.17/11,590.98
  6. Step 6: Final answer
    x = 4,238.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.