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Finding the Fourth Proportional to 10,500.09, 15,751.14 and 4,653.51

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Solution

The fourth proportional to 10,500.09, 15,751.14 and 4,653.51 is: 6,980.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500.09 : 15,751.14 = 4,653.51 : x
  2. Step 2: Convert to fraction form
    10,500.09/15,751.14 = 4,653.51/x
  3. Step 3: Cross multiply
    10,500.09x = 15,751.14 × 4,653.51
  4. Step 4: Simplify right side
    10,500.09x = 73,298,087.50
  5. Step 5: Solve for x
    x = 73,298,087.50/10,500.09
  6. Step 6: Final answer
    x = 6,980.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.