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Finding the Fourth Proportional to 10,503.84, 14,502.42 and 7,354.56

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Solution

The fourth proportional to 10,503.84, 14,502.42 and 7,354.56 is: 10,154.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503.84 : 14,502.42 = 7,354.56 : x
  2. Step 2: Convert to fraction form
    10,503.84/14,502.42 = 7,354.56/x
  3. Step 3: Cross multiply
    10,503.84x = 14,502.42 × 7,354.56
  4. Step 4: Simplify right side
    10,503.84x = 106,658,918.04
  5. Step 5: Solve for x
    x = 106,658,918.04/10,503.84
  6. Step 6: Final answer
    x = 10,154.28

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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.