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Finding the Fourth Proportional to 10,427.76, 15,646.32 and 5,237.28

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Solution

The fourth proportional to 10,427.76, 15,646.32 and 5,237.28 is: 7,858.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427.76 : 15,646.32 = 5,237.28 : x
  2. Step 2: Convert to fraction form
    10,427.76/15,646.32 = 5,237.28/x
  3. Step 3: Cross multiply
    10,427.76x = 15,646.32 × 5,237.28
  4. Step 4: Simplify right side
    10,427.76x = 81,944,158.81
  5. Step 5: Solve for x
    x = 81,944,158.81/10,427.76
  6. Step 6: Final answer
    x = 7,858.27

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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.