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Finding the Fourth Proportional to 10,482.69, 14,462.58 and 7,119.66

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Solution

The fourth proportional to 10,482.69, 14,462.58 and 7,119.66 is: 9,822.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.69 : 14,462.58 = 7,119.66 : x
  2. Step 2: Convert to fraction form
    10,482.69/14,462.58 = 7,119.66/x
  3. Step 3: Cross multiply
    10,482.69x = 14,462.58 × 7,119.66
  4. Step 4: Simplify right side
    10,482.69x = 102,968,652.32
  5. Step 5: Solve for x
    x = 102,968,652.32/10,482.69
  6. Step 6: Final answer
    x = 9,822.73

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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.