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Finding the Fourth Proportional to 15,806.00, 23,710.10 and 4,711.84

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Solution

The fourth proportional to 15,806.00, 23,710.10 and 4,711.84 is: 7,068.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,806.00 : 23,710.10 = 4,711.84 : x
  2. Step 2: Convert to fraction form
    15,806.00/23,710.10 = 4,711.84/x
  3. Step 3: Cross multiply
    15,806.00x = 23,710.10 × 4,711.84
  4. Step 4: Simplify right side
    15,806.00x = 111,718,114.75
  5. Step 5: Solve for x
    x = 111,718,114.75/15,806.00
  6. Step 6: Final answer
    x = 7,068.08

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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.