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Finding the Fourth Proportional to 10,436.58, 15,654.06 and 3,416.58

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Solution

The fourth proportional to 10,436.58, 15,654.06 and 3,416.58 is: 5,124.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,436.58 : 15,654.06 = 3,416.58 : x
  2. Step 2: Convert to fraction form
    10,436.58/15,654.06 = 3,416.58/x
  3. Step 3: Cross multiply
    10,436.58x = 15,654.06 × 3,416.58
  4. Step 4: Simplify right side
    10,436.58x = 53,483,348.31
  5. Step 5: Solve for x
    x = 53,483,348.31/10,436.58
  6. Step 6: Final answer
    x = 5,124.60

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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.