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Finding the Fourth Proportional to 10,160.34, 14,046.93 and 7,503.54

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Solution

The fourth proportional to 10,160.34, 14,046.93 and 7,503.54 is: 10,373.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,160.34 : 14,046.93 = 7,503.54 : x
  2. Step 2: Convert to fraction form
    10,160.34/14,046.93 = 7,503.54/x
  3. Step 3: Cross multiply
    10,160.34x = 14,046.93 × 7,503.54
  4. Step 4: Simplify right side
    10,160.34x = 105,401,701.13
  5. Step 5: Solve for x
    x = 105,401,701.13/10,160.34
  6. Step 6: Final answer
    x = 10,373.84

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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.