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Finding the Fourth Proportional to 7,776.30, 11,641.59 and 5,138.94

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Solution

The fourth proportional to 7,776.30, 11,641.59 and 5,138.94 is: 7,693.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.30 : 11,641.59 = 5,138.94 : x
  2. Step 2: Convert to fraction form
    7,776.30/11,641.59 = 5,138.94/x
  3. Step 3: Cross multiply
    7,776.30x = 11,641.59 × 5,138.94
  4. Step 4: Simplify right side
    7,776.30x = 59,825,432.51
  5. Step 5: Solve for x
    x = 59,825,432.51/7,776.30
  6. Step 6: Final answer
    x = 7,693.30

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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.