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Finding the Fourth Proportional to 10,153.77, 15,228.78 and 4,605.78

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Solution

The fourth proportional to 10,153.77, 15,228.78 and 4,605.78 is: 6,907.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,153.77 : 15,228.78 = 4,605.78 : x
  2. Step 2: Convert to fraction form
    10,153.77/15,228.78 = 4,605.78/x
  3. Step 3: Cross multiply
    10,153.77x = 15,228.78 × 4,605.78
  4. Step 4: Simplify right side
    10,153.77x = 70,140,410.35
  5. Step 5: Solve for x
    x = 70,140,410.35/10,153.77
  6. Step 6: Final answer
    x = 6,907.82

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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.