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Finding the Fourth Proportional to 10,378.31, 14,325.14 and 7,235.51

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Solution

The fourth proportional to 10,378.31, 14,325.14 and 7,235.51 is: 9,987.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378.31 : 14,325.14 = 7,235.51 : x
  2. Step 2: Convert to fraction form
    10,378.31/14,325.14 = 7,235.51/x
  3. Step 3: Cross multiply
    10,378.31x = 14,325.14 × 7,235.51
  4. Step 4: Simplify right side
    10,378.31x = 103,649,693.72
  5. Step 5: Solve for x
    x = 103,649,693.72/10,378.31
  6. Step 6: Final answer
    x = 9,987.15

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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.