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Finding the Fourth Proportional to 10,838.28, 14,956.85 and 5,870.28

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Solution

The fourth proportional to 10,838.28, 14,956.85 and 5,870.28 is: 8,101.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.28 : 14,956.85 = 5,870.28 : x
  2. Step 2: Convert to fraction form
    10,838.28/14,956.85 = 5,870.28/x
  3. Step 3: Cross multiply
    10,838.28x = 14,956.85 × 5,870.28
  4. Step 4: Simplify right side
    10,838.28x = 87,800,897.42
  5. Step 5: Solve for x
    x = 87,800,897.42/10,838.28
  6. Step 6: Final answer
    x = 8,101.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.