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Finding the Fourth Proportional to 7,751.48, 11,594.39 and 5,258.30

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Solution

The fourth proportional to 7,751.48, 11,594.39 and 5,258.30 is: 7,865.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.48 : 11,594.39 = 5,258.30 : x
  2. Step 2: Convert to fraction form
    7,751.48/11,594.39 = 5,258.30/x
  3. Step 3: Cross multiply
    7,751.48x = 11,594.39 × 5,258.30
  4. Step 4: Simplify right side
    7,751.48x = 60,966,696.67
  5. Step 5: Solve for x
    x = 60,966,696.67/7,751.48
  6. Step 6: Final answer
    x = 7,865.17

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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.