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Finding the Fourth Proportional to 11,457.40, 15,809.82 and 6,421.24

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Solution

The fourth proportional to 11,457.40, 15,809.82 and 6,421.24 is: 8,860.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,457.40 : 15,809.82 = 6,421.24 : x
  2. Step 2: Convert to fraction form
    11,457.40/15,809.82 = 6,421.24/x
  3. Step 3: Cross multiply
    11,457.40x = 15,809.82 × 6,421.24
  4. Step 4: Simplify right side
    11,457.40x = 101,518,648.58
  5. Step 5: Solve for x
    x = 101,518,648.58/11,457.40
  6. Step 6: Final answer
    x = 8,860.53

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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.