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Finding the Fourth Proportional to 10,462.36, 14,437.70 and 7,483.18

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Solution

The fourth proportional to 10,462.36, 14,437.70 and 7,483.18 is: 10,326.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.36 : 14,437.70 = 7,483.18 : x
  2. Step 2: Convert to fraction form
    10,462.36/14,437.70 = 7,483.18/x
  3. Step 3: Cross multiply
    10,462.36x = 14,437.70 × 7,483.18
  4. Step 4: Simplify right side
    10,462.36x = 108,039,907.89
  5. Step 5: Solve for x
    x = 108,039,907.89/10,462.36
  6. Step 6: Final answer
    x = 10,326.53

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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.