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Finding the Fourth Proportional to 10,409.66, 15,605.72 and 4,860.08

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Solution

The fourth proportional to 10,409.66, 15,605.72 and 4,860.08 is: 7,286.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.66 : 15,605.72 = 4,860.08 : x
  2. Step 2: Convert to fraction form
    10,409.66/15,605.72 = 4,860.08/x
  3. Step 3: Cross multiply
    10,409.66x = 15,605.72 × 4,860.08
  4. Step 4: Simplify right side
    10,409.66x = 75,845,047.66
  5. Step 5: Solve for x
    x = 75,845,047.66/10,409.66
  6. Step 6: Final answer
    x = 7,286.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.