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Finding the Fourth Proportional to 10,699.29, 16,015.31 and 7,347.91

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Solution

The fourth proportional to 10,699.29, 16,015.31 and 7,347.91 is: 10,998.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.29 : 16,015.31 = 7,347.91 : x
  2. Step 2: Convert to fraction form
    10,699.29/16,015.31 = 7,347.91/x
  3. Step 3: Cross multiply
    10,699.29x = 16,015.31 × 7,347.91
  4. Step 4: Simplify right side
    10,699.29x = 117,679,056.50
  5. Step 5: Solve for x
    x = 117,679,056.50/10,699.29
  6. Step 6: Final answer
    x = 10,998.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.