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Finding the Fourth Proportional to 11,565.90, 15,960.96 and 6,530.34

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Solution

The fourth proportional to 11,565.90, 15,960.96 and 6,530.34 is: 9,011.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.90 : 15,960.96 = 6,530.34 : x
  2. Step 2: Convert to fraction form
    11,565.90/15,960.96 = 6,530.34/x
  3. Step 3: Cross multiply
    11,565.90x = 15,960.96 × 6,530.34
  4. Step 4: Simplify right side
    11,565.90x = 104,230,495.53
  5. Step 5: Solve for x
    x = 104,230,495.53/11,565.90
  6. Step 6: Final answer
    x = 9,011.88

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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.