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Finding the Fourth Proportional to 10,937.82, 15,090.31 and 6,460.62

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Solution

The fourth proportional to 10,937.82, 15,090.31 and 6,460.62 is: 8,913.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,937.82 : 15,090.31 = 6,460.62 : x
  2. Step 2: Convert to fraction form
    10,937.82/15,090.31 = 6,460.62/x
  3. Step 3: Cross multiply
    10,937.82x = 15,090.31 × 6,460.62
  4. Step 4: Simplify right side
    10,937.82x = 97,492,758.59
  5. Step 5: Solve for x
    x = 97,492,758.59/10,937.82
  6. Step 6: Final answer
    x = 8,913.36

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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.