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Finding the Fourth Proportional to 10,384.82, 15,567.64 and 4,143.32

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Solution

The fourth proportional to 10,384.82, 15,567.64 and 4,143.32 is: 6,211.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.82 : 15,567.64 = 4,143.32 : x
  2. Step 2: Convert to fraction form
    10,384.82/15,567.64 = 4,143.32/x
  3. Step 3: Cross multiply
    10,384.82x = 15,567.64 × 4,143.32
  4. Step 4: Simplify right side
    10,384.82x = 64,501,615.61
  5. Step 5: Solve for x
    x = 64,501,615.61/10,384.82
  6. Step 6: Final answer
    x = 6,211.14

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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.