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Finding the Fourth Proportional to 11,470.83, 15,830.97 and 6,435.51

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Solution

The fourth proportional to 11,470.83, 15,830.97 and 6,435.51 is: 8,881.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470.83 : 15,830.97 = 6,435.51 : x
  2. Step 2: Convert to fraction form
    11,470.83/15,830.97 = 6,435.51/x
  3. Step 3: Cross multiply
    11,470.83x = 15,830.97 × 6,435.51
  4. Step 4: Simplify right side
    11,470.83x = 101,880,365.74
  5. Step 5: Solve for x
    x = 101,880,365.74/11,470.83
  6. Step 6: Final answer
    x = 8,881.69

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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.