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Finding the Fourth Proportional to 7,024.98, 10,537.43 and 1,830.86

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Solution

The fourth proportional to 7,024.98, 10,537.43 and 1,830.86 is: 2,746.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.98 : 10,537.43 = 1,830.86 : x
  2. Step 2: Convert to fraction form
    7,024.98/10,537.43 = 1,830.86/x
  3. Step 3: Cross multiply
    7,024.98x = 10,537.43 × 1,830.86
  4. Step 4: Simplify right side
    7,024.98x = 19,292,497.25
  5. Step 5: Solve for x
    x = 19,292,497.25/7,024.98
  6. Step 6: Final answer
    x = 2,746.27

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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.