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Finding the Fourth Proportional to 10,526.93, 14,544.59 and 8,305.71

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Solution

The fourth proportional to 10,526.93, 14,544.59 and 8,305.71 is: 11,475.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,526.93 : 14,544.59 = 8,305.71 : x
  2. Step 2: Convert to fraction form
    10,526.93/14,544.59 = 8,305.71/x
  3. Step 3: Cross multiply
    10,526.93x = 14,544.59 × 8,305.71
  4. Step 4: Simplify right side
    10,526.93x = 120,803,146.61
  5. Step 5: Solve for x
    x = 120,803,146.61/10,526.93
  6. Step 6: Final answer
    x = 11,475.63

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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.