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Finding the Fourth Proportional to 10,340.90, 15,511.35 and 6,404.30

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Solution

The fourth proportional to 10,340.90, 15,511.35 and 6,404.30 is: 9,606.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,340.90 : 15,511.35 = 6,404.30 : x
  2. Step 2: Convert to fraction form
    10,340.90/15,511.35 = 6,404.30/x
  3. Step 3: Cross multiply
    10,340.90x = 15,511.35 × 6,404.30
  4. Step 4: Simplify right side
    10,340.90x = 99,339,338.81
  5. Step 5: Solve for x
    x = 99,339,338.81/10,340.90
  6. Step 6: Final answer
    x = 9,606.45

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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.