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Finding the Fourth Proportional to 10,425.03, 14,381.16 and 7,066.71

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Solution

The fourth proportional to 10,425.03, 14,381.16 and 7,066.71 is: 9,748.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425.03 : 14,381.16 = 7,066.71 : x
  2. Step 2: Convert to fraction form
    10,425.03/14,381.16 = 7,066.71/x
  3. Step 3: Cross multiply
    10,425.03x = 14,381.16 × 7,066.71
  4. Step 4: Simplify right side
    10,425.03x = 101,627,487.18
  5. Step 5: Solve for x
    x = 101,627,487.18/10,425.03
  6. Step 6: Final answer
    x = 9,748.41

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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.