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Finding the Fourth Proportional to 10,656.41, 14,707.73 and 6,680.93

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Solution

The fourth proportional to 10,656.41, 14,707.73 and 6,680.93 is: 9,220.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.41 : 14,707.73 = 6,680.93 : x
  2. Step 2: Convert to fraction form
    10,656.41/14,707.73 = 6,680.93/x
  3. Step 3: Cross multiply
    10,656.41x = 14,707.73 × 6,680.93
  4. Step 4: Simplify right side
    10,656.41x = 98,261,281.18
  5. Step 5: Solve for x
    x = 98,261,281.18/10,656.41
  6. Step 6: Final answer
    x = 9,220.86

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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.