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Finding the Fourth Proportional to 10,353.67, 15,532.40 and 4,806.25

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Solution

The fourth proportional to 10,353.67, 15,532.40 and 4,806.25 is: 7,210.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,353.67 : 15,532.40 = 4,806.25 : x
  2. Step 2: Convert to fraction form
    10,353.67/15,532.40 = 4,806.25/x
  3. Step 3: Cross multiply
    10,353.67x = 15,532.40 × 4,806.25
  4. Step 4: Simplify right side
    10,353.67x = 74,652,597.50
  5. Step 5: Solve for x
    x = 74,652,597.50/10,353.67
  6. Step 6: Final answer
    x = 7,210.25

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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.