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Finding the Fourth Proportional to 10,403.49, 14,355.71 and 6,154.71

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Solution

The fourth proportional to 10,403.49, 14,355.71 and 6,154.71 is: 8,492.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,403.49 : 14,355.71 = 6,154.71 : x
  2. Step 2: Convert to fraction form
    10,403.49/14,355.71 = 6,154.71/x
  3. Step 3: Cross multiply
    10,403.49x = 14,355.71 × 6,154.71
  4. Step 4: Simplify right side
    10,403.49x = 88,355,231.89
  5. Step 5: Solve for x
    x = 88,355,231.89/10,403.49
  6. Step 6: Final answer
    x = 8,492.85

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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.