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Finding the Fourth Proportional to 10,364.40, 14,308.14 and 7,024.84

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Solution

The fourth proportional to 10,364.40, 14,308.14 and 7,024.84 is: 9,697.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,364.40 : 14,308.14 = 7,024.84 : x
  2. Step 2: Convert to fraction form
    10,364.40/14,308.14 = 7,024.84/x
  3. Step 3: Cross multiply
    10,364.40x = 14,308.14 × 7,024.84
  4. Step 4: Simplify right side
    10,364.40x = 100,512,394.20
  5. Step 5: Solve for x
    x = 100,512,394.20/10,364.40
  6. Step 6: Final answer
    x = 9,697.85

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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.