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Finding the Fourth Proportional to 10,513.65, 14,507.10 and 6,036.60

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Solution

The fourth proportional to 10,513.65, 14,507.10 and 6,036.60 is: 8,329.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.65 : 14,507.10 = 6,036.60 : x
  2. Step 2: Convert to fraction form
    10,513.65/14,507.10 = 6,036.60/x
  3. Step 3: Cross multiply
    10,513.65x = 14,507.10 × 6,036.60
  4. Step 4: Simplify right side
    10,513.65x = 87,573,559.86
  5. Step 5: Solve for x
    x = 87,573,559.86/10,513.65
  6. Step 6: Final answer
    x = 8,329.51

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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.