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Finding the Fourth Proportional to 7,503.49, 10,353.91 and 4,146.10

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Solution

The fourth proportional to 7,503.49, 10,353.91 and 4,146.10 is: 5,721.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,503.49 : 10,353.91 = 4,146.10 : x
  2. Step 2: Convert to fraction form
    7,503.49/10,353.91 = 4,146.10/x
  3. Step 3: Cross multiply
    7,503.49x = 10,353.91 × 4,146.10
  4. Step 4: Simplify right side
    7,503.49x = 42,928,346.25
  5. Step 5: Solve for x
    x = 42,928,346.25/7,503.49
  6. Step 6: Final answer
    x = 5,721.12

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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.