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Finding the Fourth Proportional to 7,552, 10,421.31 and 4,194.58

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Solution

The fourth proportional to 7,552, 10,421.31 and 4,194.58 is: 5,788.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,552 : 10,421.31 = 4,194.58 : x
  2. Step 2: Convert to fraction form
    7,552/10,421.31 = 4,194.58/x
  3. Step 3: Cross multiply
    7,552x = 10,421.31 × 4,194.58
  4. Step 4: Simplify right side
    7,552x = 43,713,018.50
  5. Step 5: Solve for x
    x = 43,713,018.50/7,552
  6. Step 6: Final answer
    x = 5,788.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.