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Finding the Fourth Proportional to 10,649.16, 15,973.18 and 4,074.84

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Solution

The fourth proportional to 10,649.16, 15,973.18 and 4,074.84 is: 6,112.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.16 : 15,973.18 = 4,074.84 : x
  2. Step 2: Convert to fraction form
    10,649.16/15,973.18 = 4,074.84/x
  3. Step 3: Cross multiply
    10,649.16x = 15,973.18 × 4,074.84
  4. Step 4: Simplify right side
    10,649.16x = 65,088,152.79
  5. Step 5: Solve for x
    x = 65,088,152.79/10,649.16
  6. Step 6: Final answer
    x = 6,112.05

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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.