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Finding the Fourth Proportional to 11,465.58, 15,825.86 and 7,487.31

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Solution

The fourth proportional to 11,465.58, 15,825.86 and 7,487.31 is: 10,334.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465.58 : 15,825.86 = 7,487.31 : x
  2. Step 2: Convert to fraction form
    11,465.58/15,825.86 = 7,487.31/x
  3. Step 3: Cross multiply
    11,465.58x = 15,825.86 × 7,487.31
  4. Step 4: Simplify right side
    11,465.58x = 118,493,119.84
  5. Step 5: Solve for x
    x = 118,493,119.84/11,465.58
  6. Step 6: Final answer
    x = 10,334.68

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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.