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Finding the Fourth Proportional to 6,153.82, 8,492.80 and 5,031.63

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Solution

The fourth proportional to 6,153.82, 8,492.80 and 5,031.63 is: 6,944.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,153.82 : 8,492.80 = 5,031.63 : x
  2. Step 2: Convert to fraction form
    6,153.82/8,492.80 = 5,031.63/x
  3. Step 3: Cross multiply
    6,153.82x = 8,492.80 × 5,031.63
  4. Step 4: Simplify right side
    6,153.82x = 42,732,627.26
  5. Step 5: Solve for x
    x = 42,732,627.26/6,153.82
  6. Step 6: Final answer
    x = 6,944.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.