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Finding the Fourth Proportional to 15,752.28, 23,632.08 and 5,364

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Solution

The fourth proportional to 15,752.28, 23,632.08 and 5,364 is: 8,047.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,752.28 : 23,632.08 = 5,364 : x
  2. Step 2: Convert to fraction form
    15,752.28/23,632.08 = 5,364/x
  3. Step 3: Cross multiply
    15,752.28x = 23,632.08 × 5,364
  4. Step 4: Simplify right side
    15,752.28x = 126,762,477.12
  5. Step 5: Solve for x
    x = 126,762,477.12/15,752.28
  6. Step 6: Final answer
    x = 8,047.25

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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.