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Finding the Fourth Proportional to 11,580.48, 15,968.12 and 8,387.46

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Solution

The fourth proportional to 11,580.48, 15,968.12 and 8,387.46 is: 11,565.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580.48 : 15,968.12 = 8,387.46 : x
  2. Step 2: Convert to fraction form
    11,580.48/15,968.12 = 8,387.46/x
  3. Step 3: Cross multiply
    11,580.48x = 15,968.12 × 8,387.46
  4. Step 4: Simplify right side
    11,580.48x = 133,931,967.78
  5. Step 5: Solve for x
    x = 133,931,967.78/11,580.48
  6. Step 6: Final answer
    x = 11,565.32

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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.