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Finding the Fourth Proportional to 35,212, 52,818.30 and 8,916.76

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Solution

The fourth proportional to 35,212, 52,818.30 and 8,916.76 is: 13,375.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,212 : 52,818.30 = 8,916.76 : x
  2. Step 2: Convert to fraction form
    35,212/52,818.30 = 8,916.76/x
  3. Step 3: Cross multiply
    35,212x = 52,818.30 × 8,916.76
  4. Step 4: Simplify right side
    35,212x = 470,968,104.71
  5. Step 5: Solve for x
    x = 470,968,104.71/35,212
  6. Step 6: Final answer
    x = 13,375.22

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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.