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Finding the Fourth Proportional to 7,332.84, 10,106.10 and 5,340.24

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Solution

The fourth proportional to 7,332.84, 10,106.10 and 5,340.24 is: 7,359.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,332.84 : 10,106.10 = 5,340.24 : x
  2. Step 2: Convert to fraction form
    7,332.84/10,106.10 = 5,340.24/x
  3. Step 3: Cross multiply
    7,332.84x = 10,106.10 × 5,340.24
  4. Step 4: Simplify right side
    7,332.84x = 53,968,999.46
  5. Step 5: Solve for x
    x = 53,968,999.46/7,332.84
  6. Step 6: Final answer
    x = 7,359.90

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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.