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Finding the Fourth Proportional to 10,835.10, 14,944.73 and 7,051.32

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Solution

The fourth proportional to 10,835.10, 14,944.73 and 7,051.32 is: 9,725.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,835.10 : 14,944.73 = 7,051.32 : x
  2. Step 2: Convert to fraction form
    10,835.10/14,944.73 = 7,051.32/x
  3. Step 3: Cross multiply
    10,835.10x = 14,944.73 × 7,051.32
  4. Step 4: Simplify right side
    10,835.10x = 105,380,038.29
  5. Step 5: Solve for x
    x = 105,380,038.29/10,835.10
  6. Step 6: Final answer
    x = 9,725.80

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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.