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Finding the Fourth Proportional to 10,648.54, 14,694.60 and 6,402.04

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Solution

The fourth proportional to 10,648.54, 14,694.60 and 6,402.04 is: 8,834.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648.54 : 14,694.60 = 6,402.04 : x
  2. Step 2: Convert to fraction form
    10,648.54/14,694.60 = 6,402.04/x
  3. Step 3: Cross multiply
    10,648.54x = 14,694.60 × 6,402.04
  4. Step 4: Simplify right side
    10,648.54x = 94,075,416.98
  5. Step 5: Solve for x
    x = 94,075,416.98/10,648.54
  6. Step 6: Final answer
    x = 8,834.58

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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.