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Finding the Fourth Proportional to 10,461.83, 15,649.61 and 9,577.71

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Solution

The fourth proportional to 10,461.83, 15,649.61 and 9,577.71 is: 14,327.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.83 : 15,649.61 = 9,577.71 : x
  2. Step 2: Convert to fraction form
    10,461.83/15,649.61 = 9,577.71/x
  3. Step 3: Cross multiply
    10,461.83x = 15,649.61 × 9,577.71
  4. Step 4: Simplify right side
    10,461.83x = 149,887,378.30
  5. Step 5: Solve for x
    x = 149,887,378.30/10,461.83
  6. Step 6: Final answer
    x = 14,327.08

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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.