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Finding the Fourth Proportional to 11,282.31, 15,567.12 and 6,564.06

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Solution

The fourth proportional to 11,282.31, 15,567.12 and 6,564.06 is: 9,056.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,282.31 : 15,567.12 = 6,564.06 : x
  2. Step 2: Convert to fraction form
    11,282.31/15,567.12 = 6,564.06/x
  3. Step 3: Cross multiply
    11,282.31x = 15,567.12 × 6,564.06
  4. Step 4: Simplify right side
    11,282.31x = 102,183,509.71
  5. Step 5: Solve for x
    x = 102,183,509.71/11,282.31
  6. Step 6: Final answer
    x = 9,056.97

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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.