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Finding the Fourth Proportional to 11,565.58, 15,960.48 and 6,530.86

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Solution

The fourth proportional to 11,565.58, 15,960.48 and 6,530.86 is: 9,012.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.58 : 15,960.48 = 6,530.86 : x
  2. Step 2: Convert to fraction form
    11,565.58/15,960.48 = 6,530.86/x
  3. Step 3: Cross multiply
    11,565.58x = 15,960.48 × 6,530.86
  4. Step 4: Simplify right side
    11,565.58x = 104,235,660.41
  5. Step 5: Solve for x
    x = 104,235,660.41/11,565.58
  6. Step 6: Final answer
    x = 9,012.58

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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.