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Finding the Fourth Proportional to 10,456.66, 14,430.24 and 5,980.60

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Solution

The fourth proportional to 10,456.66, 14,430.24 and 5,980.60 is: 8,253.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,456.66 : 14,430.24 = 5,980.60 : x
  2. Step 2: Convert to fraction form
    10,456.66/14,430.24 = 5,980.60/x
  3. Step 3: Cross multiply
    10,456.66x = 14,430.24 × 5,980.60
  4. Step 4: Simplify right side
    10,456.66x = 86,301,457.27
  5. Step 5: Solve for x
    x = 86,301,457.27/10,456.66
  6. Step 6: Final answer
    x = 8,253.25

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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.