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Finding the Fourth Proportional to 6,953.64, 10,412.10 and 4,876.20

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Solution

The fourth proportional to 6,953.64, 10,412.10 and 4,876.20 is: 7,301.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.64 : 10,412.10 = 4,876.20 : x
  2. Step 2: Convert to fraction form
    6,953.64/10,412.10 = 4,876.20/x
  3. Step 3: Cross multiply
    6,953.64x = 10,412.10 × 4,876.20
  4. Step 4: Simplify right side
    6,953.64x = 50,771,482.02
  5. Step 5: Solve for x
    x = 50,771,482.02/6,953.64
  6. Step 6: Final answer
    x = 7,301.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.