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Finding the Fourth Proportional to 10,351.57, 14,283.16 and 7,159.69

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Solution

The fourth proportional to 10,351.57, 14,283.16 and 7,159.69 is: 9,878.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,351.57 : 14,283.16 = 7,159.69 : x
  2. Step 2: Convert to fraction form
    10,351.57/14,283.16 = 7,159.69/x
  3. Step 3: Cross multiply
    10,351.57x = 14,283.16 × 7,159.69
  4. Step 4: Simplify right side
    10,351.57x = 102,263,017.91
  5. Step 5: Solve for x
    x = 102,263,017.91/10,351.57
  6. Step 6: Final answer
    x = 9,878.98

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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.