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Finding the Fourth Proportional to 10,418.93, 15,624.75 and 6,464.10

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Solution

The fourth proportional to 10,418.93, 15,624.75 and 6,464.10 is: 9,693.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,418.93 : 15,624.75 = 6,464.10 : x
  2. Step 2: Convert to fraction form
    10,418.93/15,624.75 = 6,464.10/x
  3. Step 3: Cross multiply
    10,418.93x = 15,624.75 × 6,464.10
  4. Step 4: Simplify right side
    10,418.93x = 100,999,992.95
  5. Step 5: Solve for x
    x = 100,999,992.95/10,418.93
  6. Step 6: Final answer
    x = 9,693.89

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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.