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Finding the Fourth Proportional to 11,430.41, 15,776.42 and 6,955.59

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Solution

The fourth proportional to 11,430.41, 15,776.42 and 6,955.59 is: 9,600.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430.41 : 15,776.42 = 6,955.59 : x
  2. Step 2: Convert to fraction form
    11,430.41/15,776.42 = 6,955.59/x
  3. Step 3: Cross multiply
    11,430.41x = 15,776.42 × 6,955.59
  4. Step 4: Simplify right side
    11,430.41x = 109,734,385.74
  5. Step 5: Solve for x
    x = 109,734,385.74/11,430.41
  6. Step 6: Final answer
    x = 9,600.22

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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.