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Finding the Fourth Proportional to 10,605.77, 14,643.29 and 6,628.67

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Solution

The fourth proportional to 10,605.77, 14,643.29 and 6,628.67 is: 9,152.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.77 : 14,643.29 = 6,628.67 : x
  2. Step 2: Convert to fraction form
    10,605.77/14,643.29 = 6,628.67/x
  3. Step 3: Cross multiply
    10,605.77x = 14,643.29 × 6,628.67
  4. Step 4: Simplify right side
    10,605.77x = 97,065,503.98
  5. Step 5: Solve for x
    x = 97,065,503.98/10,605.77
  6. Step 6: Final answer
    x = 9,152.14

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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.