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Finding the Fourth Proportional to 37,580.76, 56,376 and 11,288.16

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Solution

The fourth proportional to 37,580.76, 56,376 and 11,288.16 is: 16,933.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,580.76 : 56,376 = 11,288.16 : x
  2. Step 2: Convert to fraction form
    37,580.76/56,376 = 11,288.16/x
  3. Step 3: Cross multiply
    37,580.76x = 56,376 × 11,288.16
  4. Step 4: Simplify right side
    37,580.76x = 636,381,308.16
  5. Step 5: Solve for x
    x = 636,381,308.16/37,580.76
  6. Step 6: Final answer
    x = 16,933.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.