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Finding the Fourth Proportional to 10,457.16, 15,682.66 and 3,059.86

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Solution

The fourth proportional to 10,457.16, 15,682.66 and 3,059.86 is: 4,588.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.16 : 15,682.66 = 3,059.86 : x
  2. Step 2: Convert to fraction form
    10,457.16/15,682.66 = 3,059.86/x
  3. Step 3: Cross multiply
    10,457.16x = 15,682.66 × 3,059.86
  4. Step 4: Simplify right side
    10,457.16x = 47,986,726.58
  5. Step 5: Solve for x
    x = 47,986,726.58/10,457.16
  6. Step 6: Final answer
    x = 4,588.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.