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Finding the Fourth Proportional to 7,713.40, 11,574.30 and 4,203.20

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Solution

The fourth proportional to 7,713.40, 11,574.30 and 4,203.20 is: 6,307.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.40 : 11,574.30 = 4,203.20 : x
  2. Step 2: Convert to fraction form
    7,713.40/11,574.30 = 4,203.20/x
  3. Step 3: Cross multiply
    7,713.40x = 11,574.30 × 4,203.20
  4. Step 4: Simplify right side
    7,713.40x = 48,649,097.76
  5. Step 5: Solve for x
    x = 48,649,097.76/7,713.40
  6. Step 6: Final answer
    x = 6,307.09

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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.