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Finding the Fourth Proportional to 10,457.48, 14,430.43 and 5,980.51

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Solution

The fourth proportional to 10,457.48, 14,430.43 and 5,980.51 is: 8,252.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.48 : 14,430.43 = 5,980.51 : x
  2. Step 2: Convert to fraction form
    10,457.48/14,430.43 = 5,980.51/x
  3. Step 3: Cross multiply
    10,457.48x = 14,430.43 × 5,980.51
  4. Step 4: Simplify right side
    10,457.48x = 86,301,301.02
  5. Step 5: Solve for x
    x = 86,301,301.02/10,457.48
  6. Step 6: Final answer
    x = 8,252.59

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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.