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Finding the Fourth Proportional to 10,526.88, 14,528.16 and 9,039.72

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Solution

The fourth proportional to 10,526.88, 14,528.16 and 9,039.72 is: 12,475.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,526.88 : 14,528.16 = 9,039.72 : x
  2. Step 2: Convert to fraction form
    10,526.88/14,528.16 = 9,039.72/x
  3. Step 3: Cross multiply
    10,526.88x = 14,528.16 × 9,039.72
  4. Step 4: Simplify right side
    10,526.88x = 131,330,498.52
  5. Step 5: Solve for x
    x = 131,330,498.52/10,526.88
  6. Step 6: Final answer
    x = 12,475.73

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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.