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Finding the Fourth Proportional to 7,430.82, 10,265.68 and 4,884.65

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Solution

The fourth proportional to 7,430.82, 10,265.68 and 4,884.65 is: 6,748.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,430.82 : 10,265.68 = 4,884.65 : x
  2. Step 2: Convert to fraction form
    7,430.82/10,265.68 = 4,884.65/x
  3. Step 3: Cross multiply
    7,430.82x = 10,265.68 × 4,884.65
  4. Step 4: Simplify right side
    7,430.82x = 50,144,253.81
  5. Step 5: Solve for x
    x = 50,144,253.81/7,430.82
  6. Step 6: Final answer
    x = 6,748.15

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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.