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Finding the Fourth Proportional to 11,569.80, 15,966.94 and 6,535.64

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Solution

The fourth proportional to 11,569.80, 15,966.94 and 6,535.64 is: 9,019.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,569.80 : 15,966.94 = 6,535.64 : x
  2. Step 2: Convert to fraction form
    11,569.80/15,966.94 = 6,535.64/x
  3. Step 3: Cross multiply
    11,569.80x = 15,966.94 × 6,535.64
  4. Step 4: Simplify right side
    11,569.80x = 104,354,171.74
  5. Step 5: Solve for x
    x = 104,354,171.74/11,569.80
  6. Step 6: Final answer
    x = 9,019.53

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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.