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Finding the Fourth Proportional to 7,707.89, 10,641.47 and 5,059.94

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Solution

The fourth proportional to 7,707.89, 10,641.47 and 5,059.94 is: 6,985.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.89 : 10,641.47 = 5,059.94 : x
  2. Step 2: Convert to fraction form
    7,707.89/10,641.47 = 5,059.94/x
  3. Step 3: Cross multiply
    7,707.89x = 10,641.47 × 5,059.94
  4. Step 4: Simplify right side
    7,707.89x = 53,845,121.20
  5. Step 5: Solve for x
    x = 53,845,121.20/7,707.89
  6. Step 6: Final answer
    x = 6,985.72

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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.