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Finding the Fourth Proportional to 10,422.93, 15,630.75 and 6,468.10

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Solution

The fourth proportional to 10,422.93, 15,630.75 and 6,468.10 is: 9,699.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422.93 : 15,630.75 = 6,468.10 : x
  2. Step 2: Convert to fraction form
    10,422.93/15,630.75 = 6,468.10/x
  3. Step 3: Cross multiply
    10,422.93x = 15,630.75 × 6,468.10
  4. Step 4: Simplify right side
    10,422.93x = 101,101,254.08
  5. Step 5: Solve for x
    x = 101,101,254.08/10,422.93
  6. Step 6: Final answer
    x = 9,699.89

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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.