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Finding the Fourth Proportional to 10,460.88, 15,689.70 and 3,885.84

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Solution

The fourth proportional to 10,460.88, 15,689.70 and 3,885.84 is: 5,828.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,460.88 : 15,689.70 = 3,885.84 : x
  2. Step 2: Convert to fraction form
    10,460.88/15,689.70 = 3,885.84/x
  3. Step 3: Cross multiply
    10,460.88x = 15,689.70 × 3,885.84
  4. Step 4: Simplify right side
    10,460.88x = 60,967,663.85
  5. Step 5: Solve for x
    x = 60,967,663.85/10,460.88
  6. Step 6: Final answer
    x = 5,828.16

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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.