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Finding the Fourth Proportional to 11,580.57, 15,980.90 and 6,864.75

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Solution

The fourth proportional to 11,580.57, 15,980.90 and 6,864.75 is: 9,473.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580.57 : 15,980.90 = 6,864.75 : x
  2. Step 2: Convert to fraction form
    11,580.57/15,980.90 = 6,864.75/x
  3. Step 3: Cross multiply
    11,580.57x = 15,980.90 × 6,864.75
  4. Step 4: Simplify right side
    11,580.57x = 109,704,848.95
  5. Step 5: Solve for x
    x = 109,704,848.95/11,580.57
  6. Step 6: Final answer
    x = 9,473.18

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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.