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Finding the Fourth Proportional to 11,149.51, 15,385.71 and 6,113.47

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Solution

The fourth proportional to 11,149.51, 15,385.71 and 6,113.47 is: 8,436.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,149.51 : 15,385.71 = 6,113.47 : x
  2. Step 2: Convert to fraction form
    11,149.51/15,385.71 = 6,113.47/x
  3. Step 3: Cross multiply
    11,149.51x = 15,385.71 × 6,113.47
  4. Step 4: Simplify right side
    11,149.51x = 94,059,999.59
  5. Step 5: Solve for x
    x = 94,059,999.59/11,149.51
  6. Step 6: Final answer
    x = 8,436.25

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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.