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Finding the Fourth Proportional to 10,616.74, 14,646.82 and 6,417.70

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Solution

The fourth proportional to 10,616.74, 14,646.82 and 6,417.70 is: 8,853.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.74 : 14,646.82 = 6,417.70 : x
  2. Step 2: Convert to fraction form
    10,616.74/14,646.82 = 6,417.70/x
  3. Step 3: Cross multiply
    10,616.74x = 14,646.82 × 6,417.70
  4. Step 4: Simplify right side
    10,616.74x = 93,998,896.71
  5. Step 5: Solve for x
    x = 93,998,896.71/10,616.74
  6. Step 6: Final answer
    x = 8,853.84

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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.