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Finding the Fourth Proportional to 10,526.16, 14,527.79 and 8,004.23

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Solution

The fourth proportional to 10,526.16, 14,527.79 and 8,004.23 is: 11,047.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,526.16 : 14,527.79 = 8,004.23 : x
  2. Step 2: Convert to fraction form
    10,526.16/14,527.79 = 8,004.23/x
  3. Step 3: Cross multiply
    10,526.16x = 14,527.79 × 8,004.23
  4. Step 4: Simplify right side
    10,526.16x = 116,283,772.55
  5. Step 5: Solve for x
    x = 116,283,772.55/10,526.16
  6. Step 6: Final answer
    x = 11,047.12

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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.