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Finding the Fourth Proportional to 10,688.16, 16,032.24 and 7,013.64

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Solution

The fourth proportional to 10,688.16, 16,032.24 and 7,013.64 is: 10,520.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,688.16 : 16,032.24 = 7,013.64 : x
  2. Step 2: Convert to fraction form
    10,688.16/16,032.24 = 7,013.64/x
  3. Step 3: Cross multiply
    10,688.16x = 16,032.24 × 7,013.64
  4. Step 4: Simplify right side
    10,688.16x = 112,444,359.75
  5. Step 5: Solve for x
    x = 112,444,359.75/10,688.16
  6. Step 6: Final answer
    x = 10,520.46

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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.