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Finding the Fourth Proportional to 6,895.06, 10,338.05 and 4,547.90

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Solution

The fourth proportional to 6,895.06, 10,338.05 and 4,547.90 is: 6,818.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,895.06 : 10,338.05 = 4,547.90 : x
  2. Step 2: Convert to fraction form
    6,895.06/10,338.05 = 4,547.90/x
  3. Step 3: Cross multiply
    6,895.06x = 10,338.05 × 4,547.90
  4. Step 4: Simplify right side
    6,895.06x = 47,016,454.81
  5. Step 5: Solve for x
    x = 47,016,454.81/6,895.06
  6. Step 6: Final answer
    x = 6,818.86

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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.