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Finding the Fourth Proportional to 10,513.07, 14,507.51 and 5,975.16

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Solution

The fourth proportional to 10,513.07, 14,507.51 and 5,975.16 is: 8,245.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.07 : 14,507.51 = 5,975.16 : x
  2. Step 2: Convert to fraction form
    10,513.07/14,507.51 = 5,975.16/x
  3. Step 3: Cross multiply
    10,513.07x = 14,507.51 × 5,975.16
  4. Step 4: Simplify right side
    10,513.07x = 86,684,693.45
  5. Step 5: Solve for x
    x = 86,684,693.45/10,513.07
  6. Step 6: Final answer
    x = 8,245.42

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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.