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Finding the Fourth Proportional to 10,698.30, 14,767.37 and 7,352.19

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Solution

The fourth proportional to 10,698.30, 14,767.37 and 7,352.19 is: 10,148.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.30 : 14,767.37 = 7,352.19 : x
  2. Step 2: Convert to fraction form
    10,698.30/14,767.37 = 7,352.19/x
  3. Step 3: Cross multiply
    10,698.30x = 14,767.37 × 7,352.19
  4. Step 4: Simplify right side
    10,698.30x = 108,572,473.28
  5. Step 5: Solve for x
    x = 108,572,473.28/10,698.30
  6. Step 6: Final answer
    x = 10,148.57

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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.