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Finding the Fourth Proportional to 10,478.58, 15,780.26 and 9,450.42

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Solution

The fourth proportional to 10,478.58, 15,780.26 and 9,450.42 is: 14,231.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.58 : 15,780.26 = 9,450.42 : x
  2. Step 2: Convert to fraction form
    10,478.58/15,780.26 = 9,450.42/x
  3. Step 3: Cross multiply
    10,478.58x = 15,780.26 × 9,450.42
  4. Step 4: Simplify right side
    10,478.58x = 149,130,037.46
  5. Step 5: Solve for x
    x = 149,130,037.46/10,478.58
  6. Step 6: Final answer
    x = 14,231.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.