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Finding the Fourth Proportional to 10,248.51, 14,140.43 and 6,838.81

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Solution

The fourth proportional to 10,248.51, 14,140.43 and 6,838.81 is: 9,435.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,248.51 : 14,140.43 = 6,838.81 : x
  2. Step 2: Convert to fraction form
    10,248.51/14,140.43 = 6,838.81/x
  3. Step 3: Cross multiply
    10,248.51x = 14,140.43 × 6,838.81
  4. Step 4: Simplify right side
    10,248.51x = 96,703,679.89
  5. Step 5: Solve for x
    x = 96,703,679.89/10,248.51
  6. Step 6: Final answer
    x = 9,435.88

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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.