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Finding the Fourth Proportional to 10,655.62, 14,703.33 and 6,463.06

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Solution

The fourth proportional to 10,655.62, 14,703.33 and 6,463.06 is: 8,918.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.62 : 14,703.33 = 6,463.06 : x
  2. Step 2: Convert to fraction form
    10,655.62/14,703.33 = 6,463.06/x
  3. Step 3: Cross multiply
    10,655.62x = 14,703.33 × 6,463.06
  4. Step 4: Simplify right side
    10,655.62x = 95,028,503.99
  5. Step 5: Solve for x
    x = 95,028,503.99/10,655.62
  6. Step 6: Final answer
    x = 8,918.16

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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.