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Finding the Fourth Proportional to 11,493.55, 15,860.50 and 6,457.99

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Solution

The fourth proportional to 11,493.55, 15,860.50 and 6,457.99 is: 8,911.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.55 : 15,860.50 = 6,457.99 : x
  2. Step 2: Convert to fraction form
    11,493.55/15,860.50 = 6,457.99/x
  3. Step 3: Cross multiply
    11,493.55x = 15,860.50 × 6,457.99
  4. Step 4: Simplify right side
    11,493.55x = 102,426,950.40
  5. Step 5: Solve for x
    x = 102,426,950.40/11,493.55
  6. Step 6: Final answer
    x = 8,911.69

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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.