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Finding the Fourth Proportional to 10,830.36, 16,253.68 and 7,312.04

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Solution

The fourth proportional to 10,830.36, 16,253.68 and 7,312.04 is: 10,973.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.36 : 16,253.68 = 7,312.04 : x
  2. Step 2: Convert to fraction form
    10,830.36/16,253.68 = 7,312.04/x
  3. Step 3: Cross multiply
    10,830.36x = 16,253.68 × 7,312.04
  4. Step 4: Simplify right side
    10,830.36x = 118,847,558.31
  5. Step 5: Solve for x
    x = 118,847,558.31/10,830.36
  6. Step 6: Final answer
    x = 10,973.56

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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.