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Finding the Fourth Proportional to 10,513.93, 14,509.68 and 6,039.12

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Solution

The fourth proportional to 10,513.93, 14,509.68 and 6,039.12 is: 8,334.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.93 : 14,509.68 = 6,039.12 : x
  2. Step 2: Convert to fraction form
    10,513.93/14,509.68 = 6,039.12/x
  3. Step 3: Cross multiply
    10,513.93x = 14,509.68 × 6,039.12
  4. Step 4: Simplify right side
    10,513.93x = 87,625,703.20
  5. Step 5: Solve for x
    x = 87,625,703.20/10,513.93
  6. Step 6: Final answer
    x = 8,334.25

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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.