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Finding the Fourth Proportional to 10,457.16, 14,430.93 and 5,741.44

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Solution

The fourth proportional to 10,457.16, 14,430.93 and 5,741.44 is: 7,923.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.16 : 14,430.93 = 5,741.44 : x
  2. Step 2: Convert to fraction form
    10,457.16/14,430.93 = 5,741.44/x
  3. Step 3: Cross multiply
    10,457.16x = 14,430.93 × 5,741.44
  4. Step 4: Simplify right side
    10,457.16x = 82,854,282.66
  5. Step 5: Solve for x
    x = 82,854,282.66/10,457.16
  6. Step 6: Final answer
    x = 7,923.21

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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.