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Finding the Fourth Proportional to 11,569.65, 15,966.03 and 6,533.85

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Solution

The fourth proportional to 11,569.65, 15,966.03 and 6,533.85 is: 9,016.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,569.65 : 15,966.03 = 6,533.85 : x
  2. Step 2: Convert to fraction form
    11,569.65/15,966.03 = 6,533.85/x
  3. Step 3: Cross multiply
    11,569.65x = 15,966.03 × 6,533.85
  4. Step 4: Simplify right side
    11,569.65x = 104,319,645.12
  5. Step 5: Solve for x
    x = 104,319,645.12/11,569.65
  6. Step 6: Final answer
    x = 9,016.66

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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.