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Finding the Fourth Proportional to 10,461.12, 15,688.44 and 3,534

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Solution

The fourth proportional to 10,461.12, 15,688.44 and 3,534 is: 5,299.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.12 : 15,688.44 = 3,534 : x
  2. Step 2: Convert to fraction form
    10,461.12/15,688.44 = 3,534/x
  3. Step 3: Cross multiply
    10,461.12x = 15,688.44 × 3,534
  4. Step 4: Simplify right side
    10,461.12x = 55,442,946.96
  5. Step 5: Solve for x
    x = 55,442,946.96/10,461.12
  6. Step 6: Final answer
    x = 5,299.91

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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.