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Finding the Fourth Proportional to 10,701.44, 14,765.04 and 7,345.10

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Solution

The fourth proportional to 10,701.44, 14,765.04 and 7,345.10 is: 10,134.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,701.44 : 14,765.04 = 7,345.10 : x
  2. Step 2: Convert to fraction form
    10,701.44/14,765.04 = 7,345.10/x
  3. Step 3: Cross multiply
    10,701.44x = 14,765.04 × 7,345.10
  4. Step 4: Simplify right side
    10,701.44x = 108,450,695.30
  5. Step 5: Solve for x
    x = 108,450,695.30/10,701.44
  6. Step 6: Final answer
    x = 10,134.22

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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.