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Finding the Fourth Proportional to 11,357.57, 15,673.52 and 6,322.00

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Solution

The fourth proportional to 11,357.57, 15,673.52 and 6,322.00 is: 8,724.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,357.57 : 15,673.52 = 6,322.00 : x
  2. Step 2: Convert to fraction form
    11,357.57/15,673.52 = 6,322.00/x
  3. Step 3: Cross multiply
    11,357.57x = 15,673.52 × 6,322.00
  4. Step 4: Simplify right side
    11,357.57x = 99,087,970.06
  5. Step 5: Solve for x
    x = 99,087,970.06/11,357.57
  6. Step 6: Final answer
    x = 8,724.40

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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.