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Finding the Fourth Proportional to 37,866.60, 56,804.06 and 10,166.76

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Solution

The fourth proportional to 37,866.60, 56,804.06 and 10,166.76 is: 15,251.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,866.60 : 56,804.06 = 10,166.76 : x
  2. Step 2: Convert to fraction form
    37,866.60/56,804.06 = 10,166.76/x
  3. Step 3: Cross multiply
    37,866.60x = 56,804.06 × 10,166.76
  4. Step 4: Simplify right side
    37,866.60x = 577,513,245.05
  5. Step 5: Solve for x
    x = 577,513,245.05/37,866.60
  6. Step 6: Final answer
    x = 15,251.26

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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.