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Finding the Fourth Proportional to 10,218.96, 15,302.22 and 6,698.57

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Solution

The fourth proportional to 10,218.96, 15,302.22 and 6,698.57 is: 10,030.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,218.96 : 15,302.22 = 6,698.57 : x
  2. Step 2: Convert to fraction form
    10,218.96/15,302.22 = 6,698.57/x
  3. Step 3: Cross multiply
    10,218.96x = 15,302.22 × 6,698.57
  4. Step 4: Simplify right side
    10,218.96x = 102,502,890.19
  5. Step 5: Solve for x
    x = 102,502,890.19/10,218.96
  6. Step 6: Final answer
    x = 10,030.66

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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.