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Finding the Fourth Proportional to 11,500.54, 15,870.48 and 6,395.71

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Solution

The fourth proportional to 11,500.54, 15,870.48 and 6,395.71 is: 8,825.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,500.54 : 15,870.48 = 6,395.71 : x
  2. Step 2: Convert to fraction form
    11,500.54/15,870.48 = 6,395.71/x
  3. Step 3: Cross multiply
    11,500.54x = 15,870.48 × 6,395.71
  4. Step 4: Simplify right side
    11,500.54x = 101,502,987.64
  5. Step 5: Solve for x
    x = 101,502,987.64/11,500.54
  6. Step 6: Final answer
    x = 8,825.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.