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Finding the Fourth Proportional to 10,456.15, 14,430.63 and 5,980.32

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Solution

The fourth proportional to 10,456.15, 14,430.63 and 5,980.32 is: 8,253.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,456.15 : 14,430.63 = 5,980.32 : x
  2. Step 2: Convert to fraction form
    10,456.15/14,430.63 = 5,980.32/x
  3. Step 3: Cross multiply
    10,456.15x = 14,430.63 × 5,980.32
  4. Step 4: Simplify right side
    10,456.15x = 86,299,698.10
  5. Step 5: Solve for x
    x = 86,299,698.10/10,456.15
  6. Step 6: Final answer
    x = 8,253.49

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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.