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Finding the Fourth Proportional to 10,688.30, 16,031.07 and 4,447.14

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Solution

The fourth proportional to 10,688.30, 16,031.07 and 4,447.14 is: 6,670.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,688.30 : 16,031.07 = 4,447.14 : x
  2. Step 2: Convert to fraction form
    10,688.30/16,031.07 = 4,447.14/x
  3. Step 3: Cross multiply
    10,688.30x = 16,031.07 × 4,447.14
  4. Step 4: Simplify right side
    10,688.30x = 71,292,412.64
  5. Step 5: Solve for x
    x = 71,292,412.64/10,688.30
  6. Step 6: Final answer
    x = 6,670.14

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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.