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Finding the Fourth Proportional to 7,844.45, 10,812.89 and 7,688.93

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Solution

The fourth proportional to 7,844.45, 10,812.89 and 7,688.93 is: 10,598.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.45 : 10,812.89 = 7,688.93 : x
  2. Step 2: Convert to fraction form
    7,844.45/10,812.89 = 7,688.93/x
  3. Step 3: Cross multiply
    7,844.45x = 10,812.89 × 7,688.93
  4. Step 4: Simplify right side
    7,844.45x = 83,139,519.47
  5. Step 5: Solve for x
    x = 83,139,519.47/7,844.45
  6. Step 6: Final answer
    x = 10,598.52

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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.