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Finding the Fourth Proportional to 10,077.70, 15,110.64 and 3,055.60

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Solution

The fourth proportional to 10,077.70, 15,110.64 and 3,055.60 is: 4,581.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.70 : 15,110.64 = 3,055.60 : x
  2. Step 2: Convert to fraction form
    10,077.70/15,110.64 = 3,055.60/x
  3. Step 3: Cross multiply
    10,077.70x = 15,110.64 × 3,055.60
  4. Step 4: Simplify right side
    10,077.70x = 46,172,071.58
  5. Step 5: Solve for x
    x = 46,172,071.58/10,077.70
  6. Step 6: Final answer
    x = 4,581.61

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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.