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Finding the Fourth Proportional to 10,483.62, 14,473.86 and 7,215

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Solution

The fourth proportional to 10,483.62, 14,473.86 and 7,215 is: 9,961.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483.62 : 14,473.86 = 7,215 : x
  2. Step 2: Convert to fraction form
    10,483.62/14,473.86 = 7,215/x
  3. Step 3: Cross multiply
    10,483.62x = 14,473.86 × 7,215
  4. Step 4: Simplify right side
    10,483.62x = 104,428,899.90
  5. Step 5: Solve for x
    x = 104,428,899.90/10,483.62
  6. Step 6: Final answer
    x = 9,961.15

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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.