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Finding the Fourth Proportional to 37,802.37, 56,711.76 and 11,506.43

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Solution

The fourth proportional to 37,802.37, 56,711.76 and 11,506.43 is: 17,262.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,802.37 : 56,711.76 = 11,506.43 : x
  2. Step 2: Convert to fraction form
    37,802.37/56,711.76 = 11,506.43/x
  3. Step 3: Cross multiply
    37,802.37x = 56,711.76 × 11,506.43
  4. Step 4: Simplify right side
    37,802.37x = 652,549,851.93
  5. Step 5: Solve for x
    x = 652,549,851.93/37,802.37
  6. Step 6: Final answer
    x = 17,262.14

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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.