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Finding the Fourth Proportional to 10,684.01, 16,026.08 and 7,009.53

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Solution

The fourth proportional to 10,684.01, 16,026.08 and 7,009.53 is: 10,514.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.01 : 16,026.08 = 7,009.53 : x
  2. Step 2: Convert to fraction form
    10,684.01/16,026.08 = 7,009.53/x
  3. Step 3: Cross multiply
    10,684.01x = 16,026.08 × 7,009.53
  4. Step 4: Simplify right side
    10,684.01x = 112,335,253.49
  5. Step 5: Solve for x
    x = 112,335,253.49/10,684.01
  6. Step 6: Final answer
    x = 10,514.34

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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.