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Finding the Fourth Proportional to 10,957.19, 16,429.20 and 4,285.74

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Solution

The fourth proportional to 10,957.19, 16,429.20 and 4,285.74 is: 6,426.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.19 : 16,429.20 = 4,285.74 : x
  2. Step 2: Convert to fraction form
    10,957.19/16,429.20 = 4,285.74/x
  3. Step 3: Cross multiply
    10,957.19x = 16,429.20 × 4,285.74
  4. Step 4: Simplify right side
    10,957.19x = 70,411,279.61
  5. Step 5: Solve for x
    x = 70,411,279.61/10,957.19
  6. Step 6: Final answer
    x = 6,426.03

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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.