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Finding the Fourth Proportional to 11,688.04, 17,538.54 and 4,762

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Solution

The fourth proportional to 11,688.04, 17,538.54 and 4,762 is: 7,145.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,688.04 : 17,538.54 = 4,762 : x
  2. Step 2: Convert to fraction form
    11,688.04/17,538.54 = 4,762/x
  3. Step 3: Cross multiply
    11,688.04x = 17,538.54 × 4,762
  4. Step 4: Simplify right side
    11,688.04x = 83,518,527.48
  5. Step 5: Solve for x
    x = 83,518,527.48/11,688.04
  6. Step 6: Final answer
    x = 7,145.64

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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.