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Finding the Fourth Proportional to 10,486.24, 14,473.08 and 6,013.01

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Solution

The fourth proportional to 10,486.24, 14,473.08 and 6,013.01 is: 8,299.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.24 : 14,473.08 = 6,013.01 : x
  2. Step 2: Convert to fraction form
    10,486.24/14,473.08 = 6,013.01/x
  3. Step 3: Cross multiply
    10,486.24x = 14,473.08 × 6,013.01
  4. Step 4: Simplify right side
    10,486.24x = 87,026,810.95
  5. Step 5: Solve for x
    x = 87,026,810.95/10,486.24
  6. Step 6: Final answer
    x = 8,299.15

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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.