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Finding the Fourth Proportional to 7,730.12, 11,573.10 and 7,239.68

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Solution

The fourth proportional to 7,730.12, 11,573.10 and 7,239.68 is: 10,838.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.12 : 11,573.10 = 7,239.68 : x
  2. Step 2: Convert to fraction form
    7,730.12/11,573.10 = 7,239.68/x
  3. Step 3: Cross multiply
    7,730.12x = 11,573.10 × 7,239.68
  4. Step 4: Simplify right side
    7,730.12x = 83,785,482.74
  5. Step 5: Solve for x
    x = 83,785,482.74/7,730.12
  6. Step 6: Final answer
    x = 10,838.84

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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.