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Finding the Fourth Proportional to 10,402.94, 14,355.69 and 6,154.76

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Solution

The fourth proportional to 10,402.94, 14,355.69 and 6,154.76 is: 8,493.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.94 : 14,355.69 = 6,154.76 : x
  2. Step 2: Convert to fraction form
    10,402.94/14,355.69 = 6,154.76/x
  3. Step 3: Cross multiply
    10,402.94x = 14,355.69 × 6,154.76
  4. Step 4: Simplify right side
    10,402.94x = 88,355,826.58
  5. Step 5: Solve for x
    x = 88,355,826.58/10,402.94
  6. Step 6: Final answer
    x = 8,493.35

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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.