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Finding the Fourth Proportional to 11,466.60, 15,824.36 and 7,434.32

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Solution

The fourth proportional to 11,466.60, 15,824.36 and 7,434.32 is: 10,259.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,466.60 : 15,824.36 = 7,434.32 : x
  2. Step 2: Convert to fraction form
    11,466.60/15,824.36 = 7,434.32/x
  3. Step 3: Cross multiply
    11,466.60x = 15,824.36 × 7,434.32
  4. Step 4: Simplify right side
    11,466.60x = 117,643,356.04
  5. Step 5: Solve for x
    x = 117,643,356.04/11,466.60
  6. Step 6: Final answer
    x = 10,259.65

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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.