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Finding the Fourth Proportional to 37,752.12, 56,617.20 and 11,457

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Solution

The fourth proportional to 37,752.12, 56,617.20 and 11,457 is: 17,182.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,752.12 : 56,617.20 = 11,457 : x
  2. Step 2: Convert to fraction form
    37,752.12/56,617.20 = 11,457/x
  3. Step 3: Cross multiply
    37,752.12x = 56,617.20 × 11,457
  4. Step 4: Simplify right side
    37,752.12x = 648,663,260.40
  5. Step 5: Solve for x
    x = 648,663,260.40/37,752.12
  6. Step 6: Final answer
    x = 17,182.17

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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.