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Finding the Fourth Proportional to 11,642.58, 16,089.57 and 10,346.58

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Solution

The fourth proportional to 11,642.58, 16,089.57 and 10,346.58 is: 14,298.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.58 : 16,089.57 = 10,346.58 : x
  2. Step 2: Convert to fraction form
    11,642.58/16,089.57 = 10,346.58/x
  3. Step 3: Cross multiply
    11,642.58x = 16,089.57 × 10,346.58
  4. Step 4: Simplify right side
    11,642.58x = 166,472,023.17
  5. Step 5: Solve for x
    x = 166,472,023.17/11,642.58
  6. Step 6: Final answer
    x = 14,298.55

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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.