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Finding the Fourth Proportional to 15,715.16, 23,583.52 and 5,862.32

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Solution

The fourth proportional to 15,715.16, 23,583.52 and 5,862.32 is: 8,797.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,715.16 : 23,583.52 = 5,862.32 : x
  2. Step 2: Convert to fraction form
    15,715.16/23,583.52 = 5,862.32/x
  3. Step 3: Cross multiply
    15,715.16x = 23,583.52 × 5,862.32
  4. Step 4: Simplify right side
    15,715.16x = 138,254,140.97
  5. Step 5: Solve for x
    x = 138,254,140.97/15,715.16
  6. Step 6: Final answer
    x = 8,797.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.