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Finding the Fourth Proportional to 11,464.95, 15,822.36 and 7,496.76

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Solution

The fourth proportional to 11,464.95, 15,822.36 and 7,496.76 is: 10,346.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.95 : 15,822.36 = 7,496.76 : x
  2. Step 2: Convert to fraction form
    11,464.95/15,822.36 = 7,496.76/x
  3. Step 3: Cross multiply
    11,464.95x = 15,822.36 × 7,496.76
  4. Step 4: Simplify right side
    11,464.95x = 118,616,435.55
  5. Step 5: Solve for x
    x = 118,616,435.55/11,464.95
  6. Step 6: Final answer
    x = 10,346.01

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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.