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Finding the Fourth Proportional to 7,710.95, 10,631.40 and 6,293.19

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Solution

The fourth proportional to 7,710.95, 10,631.40 and 6,293.19 is: 8,676.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.95 : 10,631.40 = 6,293.19 : x
  2. Step 2: Convert to fraction form
    7,710.95/10,631.40 = 6,293.19/x
  3. Step 3: Cross multiply
    7,710.95x = 10,631.40 × 6,293.19
  4. Step 4: Simplify right side
    7,710.95x = 66,905,420.17
  5. Step 5: Solve for x
    x = 66,905,420.17/7,710.95
  6. Step 6: Final answer
    x = 8,676.68

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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.