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Finding the Fourth Proportional to 10,484.31, 14,473.17 and 6,507.76

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Solution

The fourth proportional to 10,484.31, 14,473.17 and 6,507.76 is: 8,983.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,484.31 : 14,473.17 = 6,507.76 : x
  2. Step 2: Convert to fraction form
    10,484.31/14,473.17 = 6,507.76/x
  3. Step 3: Cross multiply
    10,484.31x = 14,473.17 × 6,507.76
  4. Step 4: Simplify right side
    10,484.31x = 94,187,884.26
  5. Step 5: Solve for x
    x = 94,187,884.26/10,484.31
  6. Step 6: Final answer
    x = 8,983.70

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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.