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Finding the Fourth Proportional to 10,427.74, 15,636.48 and 4,878.16

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Solution

The fourth proportional to 10,427.74, 15,636.48 and 4,878.16 is: 7,314.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427.74 : 15,636.48 = 4,878.16 : x
  2. Step 2: Convert to fraction form
    10,427.74/15,636.48 = 4,878.16/x
  3. Step 3: Cross multiply
    10,427.74x = 15,636.48 × 4,878.16
  4. Step 4: Simplify right side
    10,427.74x = 76,277,251.28
  5. Step 5: Solve for x
    x = 76,277,251.28/10,427.74
  6. Step 6: Final answer
    x = 7,314.84

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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.