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Finding the Fourth Proportional to 10,454.77, 15,680.88 and 3,059.17

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Solution

The fourth proportional to 10,454.77, 15,680.88 and 3,059.17 is: 4,588.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.77 : 15,680.88 = 3,059.17 : x
  2. Step 2: Convert to fraction form
    10,454.77/15,680.88 = 3,059.17/x
  3. Step 3: Cross multiply
    10,454.77x = 15,680.88 × 3,059.17
  4. Step 4: Simplify right side
    10,454.77x = 47,970,477.67
  5. Step 5: Solve for x
    x = 47,970,477.67/10,454.77
  6. Step 6: Final answer
    x = 4,588.38

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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.