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Finding the Fourth Proportional to 11,541.95, 15,925.88 and 6,824.51

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Solution

The fourth proportional to 11,541.95, 15,925.88 and 6,824.51 is: 9,416.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,541.95 : 15,925.88 = 6,824.51 : x
  2. Step 2: Convert to fraction form
    11,541.95/15,925.88 = 6,824.51/x
  3. Step 3: Cross multiply
    11,541.95x = 15,925.88 × 6,824.51
  4. Step 4: Simplify right side
    11,541.95x = 108,686,327.32
  5. Step 5: Solve for x
    x = 108,686,327.32/11,541.95
  6. Step 6: Final answer
    x = 9,416.63

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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.