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Finding the Fourth Proportional to 10,211.76, 14,089.32 and 7,849.68

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Solution

The fourth proportional to 10,211.76, 14,089.32 and 7,849.68 is: 10,830.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,211.76 : 14,089.32 = 7,849.68 : x
  2. Step 2: Convert to fraction form
    10,211.76/14,089.32 = 7,849.68/x
  3. Step 3: Cross multiply
    10,211.76x = 14,089.32 × 7,849.68
  4. Step 4: Simplify right side
    10,211.76x = 110,596,653.42
  5. Step 5: Solve for x
    x = 110,596,653.42/10,211.76
  6. Step 6: Final answer
    x = 10,830.32

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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.