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Finding the Fourth Proportional to 10,405.04, 14,362.92 and 7,065.14

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Solution

The fourth proportional to 10,405.04, 14,362.92 and 7,065.14 is: 9,752.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.04 : 14,362.92 = 7,065.14 : x
  2. Step 2: Convert to fraction form
    10,405.04/14,362.92 = 7,065.14/x
  3. Step 3: Cross multiply
    10,405.04x = 14,362.92 × 7,065.14
  4. Step 4: Simplify right side
    10,405.04x = 101,475,968.79
  5. Step 5: Solve for x
    x = 101,475,968.79/10,405.04
  6. Step 6: Final answer
    x = 9,752.58

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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.