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Finding the Fourth Proportional to 10,404.75, 14,358.29 and 6,156.03

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Solution

The fourth proportional to 10,404.75, 14,358.29 and 6,156.03 is: 8,495.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,404.75 : 14,358.29 = 6,156.03 : x
  2. Step 2: Convert to fraction form
    10,404.75/14,358.29 = 6,156.03/x
  3. Step 3: Cross multiply
    10,404.75x = 14,358.29 × 6,156.03
  4. Step 4: Simplify right side
    10,404.75x = 88,390,033.21
  5. Step 5: Solve for x
    x = 88,390,033.21/10,404.75
  6. Step 6: Final answer
    x = 8,495.16

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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.