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Finding the Fourth Proportional to 6,275.70, 8,663.66 and 4,856.18

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Solution

The fourth proportional to 6,275.70, 8,663.66 and 4,856.18 is: 6,704.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.70 : 8,663.66 = 4,856.18 : x
  2. Step 2: Convert to fraction form
    6,275.70/8,663.66 = 4,856.18/x
  3. Step 3: Cross multiply
    6,275.70x = 8,663.66 × 4,856.18
  4. Step 4: Simplify right side
    6,275.70x = 42,072,292.42
  5. Step 5: Solve for x
    x = 42,072,292.42/6,275.70
  6. Step 6: Final answer
    x = 6,704.00

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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.