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Finding the Fourth Proportional to 10,776.63, 14,868.29 and 6,526.33

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Solution

The fourth proportional to 10,776.63, 14,868.29 and 6,526.33 is: 9,004.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,776.63 : 14,868.29 = 6,526.33 : x
  2. Step 2: Convert to fraction form
    10,776.63/14,868.29 = 6,526.33/x
  3. Step 3: Cross multiply
    10,776.63x = 14,868.29 × 6,526.33
  4. Step 4: Simplify right side
    10,776.63x = 97,035,367.08
  5. Step 5: Solve for x
    x = 97,035,367.08/10,776.63
  6. Step 6: Final answer
    x = 9,004.24

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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.