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Finding the Fourth Proportional to 10,742.01, 14,824.04 and 6,026.30

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Solution

The fourth proportional to 10,742.01, 14,824.04 and 6,026.30 is: 8,316.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,742.01 : 14,824.04 = 6,026.30 : x
  2. Step 2: Convert to fraction form
    10,742.01/14,824.04 = 6,026.30/x
  3. Step 3: Cross multiply
    10,742.01x = 14,824.04 × 6,026.30
  4. Step 4: Simplify right side
    10,742.01x = 89,334,008.00
  5. Step 5: Solve for x
    x = 89,334,008.00/10,742.01
  6. Step 6: Final answer
    x = 8,316.32

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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.