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Finding the Fourth Proportional to 10,297.78, 14,211.01 and 6,047.70

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Solution

The fourth proportional to 10,297.78, 14,211.01 and 6,047.70 is: 8,345.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.78 : 14,211.01 = 6,047.70 : x
  2. Step 2: Convert to fraction form
    10,297.78/14,211.01 = 6,047.70/x
  3. Step 3: Cross multiply
    10,297.78x = 14,211.01 × 6,047.70
  4. Step 4: Simplify right side
    10,297.78x = 85,943,925.18
  5. Step 5: Solve for x
    x = 85,943,925.18/10,297.78
  6. Step 6: Final answer
    x = 8,345.87

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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.