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Finding the Fourth Proportional to 10,421, 15,631.66 and 3,125

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Solution

The fourth proportional to 10,421, 15,631.66 and 3,125 is: 4,687.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,421 : 15,631.66 = 3,125 : x
  2. Step 2: Convert to fraction form
    10,421/15,631.66 = 3,125/x
  3. Step 3: Cross multiply
    10,421x = 15,631.66 × 3,125
  4. Step 4: Simplify right side
    10,421x = 48,848,937.50
  5. Step 5: Solve for x
    x = 48,848,937.50/10,421
  6. Step 6: Final answer
    x = 4,687.55

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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.