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Finding the Fourth Proportional to 10,415.48, 15,625.50 and 4,865.80

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Solution

The fourth proportional to 10,415.48, 15,625.50 and 4,865.80 is: 7,299.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.48 : 15,625.50 = 4,865.80 : x
  2. Step 2: Convert to fraction form
    10,415.48/15,625.50 = 4,865.80/x
  3. Step 3: Cross multiply
    10,415.48x = 15,625.50 × 4,865.80
  4. Step 4: Simplify right side
    10,415.48x = 76,030,557.90
  5. Step 5: Solve for x
    x = 76,030,557.90/10,415.48
  6. Step 6: Final answer
    x = 7,299.77

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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.