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Finding the Fourth Proportional to 10,826.80, 14,933.32 and 7,043

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Solution

The fourth proportional to 10,826.80, 14,933.32 and 7,043 is: 9,714.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,826.80 : 14,933.32 = 7,043 : x
  2. Step 2: Convert to fraction form
    10,826.80/14,933.32 = 7,043/x
  3. Step 3: Cross multiply
    10,826.80x = 14,933.32 × 7,043
  4. Step 4: Simplify right side
    10,826.80x = 105,175,372.76
  5. Step 5: Solve for x
    x = 105,175,372.76/10,826.80
  6. Step 6: Final answer
    x = 9,714.35

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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.