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Finding the Fourth Proportional to 10,334.30, 15,475.14 and 6,813.63

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Solution

The fourth proportional to 10,334.30, 15,475.14 and 6,813.63 is: 10,203.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,334.30 : 15,475.14 = 6,813.63 : x
  2. Step 2: Convert to fraction form
    10,334.30/15,475.14 = 6,813.63/x
  3. Step 3: Cross multiply
    10,334.30x = 15,475.14 × 6,813.63
  4. Step 4: Simplify right side
    10,334.30x = 105,441,878.16
  5. Step 5: Solve for x
    x = 105,441,878.16/10,334.30
  6. Step 6: Final answer
    x = 10,203.10

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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.