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Finding the Fourth Proportional to 8,111.47, 11,193.80 and 4,574.66

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Solution

The fourth proportional to 8,111.47, 11,193.80 and 4,574.66 is: 6,313.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.47 : 11,193.80 = 4,574.66 : x
  2. Step 2: Convert to fraction form
    8,111.47/11,193.80 = 4,574.66/x
  3. Step 3: Cross multiply
    8,111.47x = 11,193.80 × 4,574.66
  4. Step 4: Simplify right side
    8,111.47x = 51,207,829.11
  5. Step 5: Solve for x
    x = 51,207,829.11/8,111.47
  6. Step 6: Final answer
    x = 6,313.01

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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.