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Finding the Fourth Proportional to 10,649.10, 15,973.65 and 5,400.30

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Solution

The fourth proportional to 10,649.10, 15,973.65 and 5,400.30 is: 8,100.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.10 : 15,973.65 = 5,400.30 : x
  2. Step 2: Convert to fraction form
    10,649.10/15,973.65 = 5,400.30/x
  3. Step 3: Cross multiply
    10,649.10x = 15,973.65 × 5,400.30
  4. Step 4: Simplify right side
    10,649.10x = 86,262,502.10
  5. Step 5: Solve for x
    x = 86,262,502.10/10,649.10
  6. Step 6: Final answer
    x = 8,100.45

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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.