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Finding the Fourth Proportional to 11,442.51, 15,790.59 and 6,406.74

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Solution

The fourth proportional to 11,442.51, 15,790.59 and 6,406.74 is: 8,841.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,442.51 : 15,790.59 = 6,406.74 : x
  2. Step 2: Convert to fraction form
    11,442.51/15,790.59 = 6,406.74/x
  3. Step 3: Cross multiply
    11,442.51x = 15,790.59 × 6,406.74
  4. Step 4: Simplify right side
    11,442.51x = 101,166,204.58
  5. Step 5: Solve for x
    x = 101,166,204.58/11,442.51
  6. Step 6: Final answer
    x = 8,841.26

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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.