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Finding the Fourth Proportional to 10,742.01, 14,824.25 and 6,966.73

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Solution

The fourth proportional to 10,742.01, 14,824.25 and 6,966.73 is: 9,614.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,742.01 : 14,824.25 = 6,966.73 : x
  2. Step 2: Convert to fraction form
    10,742.01/14,824.25 = 6,966.73/x
  3. Step 3: Cross multiply
    10,742.01x = 14,824.25 × 6,966.73
  4. Step 4: Simplify right side
    10,742.01x = 103,276,547.20
  5. Step 5: Solve for x
    x = 103,276,547.20/10,742.01
  6. Step 6: Final answer
    x = 9,614.27

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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.