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Finding the Fourth Proportional to 10,095.84, 13,931.93 and 5,619.44

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Solution

The fourth proportional to 10,095.84, 13,931.93 and 5,619.44 is: 7,754.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,095.84 : 13,931.93 = 5,619.44 : x
  2. Step 2: Convert to fraction form
    10,095.84/13,931.93 = 5,619.44/x
  3. Step 3: Cross multiply
    10,095.84x = 13,931.93 × 5,619.44
  4. Step 4: Simplify right side
    10,095.84x = 78,289,693.60
  5. Step 5: Solve for x
    x = 78,289,693.60/10,095.84
  6. Step 6: Final answer
    x = 7,754.65

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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.