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Finding the Fourth Proportional to 10,697.30, 16,032.59 and 7,384.00

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Solution

The fourth proportional to 10,697.30, 16,032.59 and 7,384.00 is: 11,066.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.30 : 16,032.59 = 7,384.00 : x
  2. Step 2: Convert to fraction form
    10,697.30/16,032.59 = 7,384.00/x
  3. Step 3: Cross multiply
    10,697.30x = 16,032.59 × 7,384.00
  4. Step 4: Simplify right side
    10,697.30x = 118,384,527.48
  5. Step 5: Solve for x
    x = 118,384,527.48/10,697.30
  6. Step 6: Final answer
    x = 11,066.77

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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.