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Finding the Fourth Proportional to 10,603.91, 14,631.08 and 6,412.07

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Solution

The fourth proportional to 10,603.91, 14,631.08 and 6,412.07 is: 8,847.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,603.91 : 14,631.08 = 6,412.07 : x
  2. Step 2: Convert to fraction form
    10,603.91/14,631.08 = 6,412.07/x
  3. Step 3: Cross multiply
    10,603.91x = 14,631.08 × 6,412.07
  4. Step 4: Simplify right side
    10,603.91x = 93,815,477.08
  5. Step 5: Solve for x
    x = 93,815,477.08/10,603.91
  6. Step 6: Final answer
    x = 8,847.25

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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.