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Finding the Fourth Proportional to 11,551.68, 15,934.32 and 7,362.36

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Solution

The fourth proportional to 11,551.68, 15,934.32 and 7,362.36 is: 10,155.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,551.68 : 15,934.32 = 7,362.36 : x
  2. Step 2: Convert to fraction form
    11,551.68/15,934.32 = 7,362.36/x
  3. Step 3: Cross multiply
    11,551.68x = 15,934.32 × 7,362.36
  4. Step 4: Simplify right side
    11,551.68x = 117,314,200.20
  5. Step 5: Solve for x
    x = 117,314,200.20/11,551.68
  6. Step 6: Final answer
    x = 10,155.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.