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Finding the Fourth Proportional to 11,464.29, 15,813.70 and 7,583.65

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Solution

The fourth proportional to 11,464.29, 15,813.70 and 7,583.65 is: 10,460.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.29 : 15,813.70 = 7,583.65 : x
  2. Step 2: Convert to fraction form
    11,464.29/15,813.70 = 7,583.65/x
  3. Step 3: Cross multiply
    11,464.29x = 15,813.70 × 7,583.65
  4. Step 4: Simplify right side
    11,464.29x = 119,925,507.51
  5. Step 5: Solve for x
    x = 119,925,507.51/11,464.29
  6. Step 6: Final answer
    x = 10,460.79

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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.