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Finding the Fourth Proportional to 7,885.83, 10,869.87 and 7,730.31

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Solution

The fourth proportional to 7,885.83, 10,869.87 and 7,730.31 is: 10,655.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,885.83 : 10,869.87 = 7,730.31 : x
  2. Step 2: Convert to fraction form
    7,885.83/10,869.87 = 7,730.31/x
  3. Step 3: Cross multiply
    7,885.83x = 10,869.87 × 7,730.31
  4. Step 4: Simplify right side
    7,885.83x = 84,027,464.76
  5. Step 5: Solve for x
    x = 84,027,464.76/7,885.83
  6. Step 6: Final answer
    x = 10,655.50

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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.