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Finding the Fourth Proportional to 10,263.55, 14,163.71 and 5,547.84

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Solution

The fourth proportional to 10,263.55, 14,163.71 and 5,547.84 is: 7,656.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,263.55 : 14,163.71 = 5,547.84 : x
  2. Step 2: Convert to fraction form
    10,263.55/14,163.71 = 5,547.84/x
  3. Step 3: Cross multiply
    10,263.55x = 14,163.71 × 5,547.84
  4. Step 4: Simplify right side
    10,263.55x = 78,577,898.33
  5. Step 5: Solve for x
    x = 78,577,898.33/10,263.55
  6. Step 6: Final answer
    x = 7,656.02

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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.