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Finding the Fourth Proportional to 10,271.66, 15,404.76 and 4,722.17

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Solution

The fourth proportional to 10,271.66, 15,404.76 and 4,722.17 is: 7,082.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,271.66 : 15,404.76 = 4,722.17 : x
  2. Step 2: Convert to fraction form
    10,271.66/15,404.76 = 4,722.17/x
  3. Step 3: Cross multiply
    10,271.66x = 15,404.76 × 4,722.17
  4. Step 4: Simplify right side
    10,271.66x = 72,743,818.51
  5. Step 5: Solve for x
    x = 72,743,818.51/10,271.66
  6. Step 6: Final answer
    x = 7,082.00

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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.