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Finding the Fourth Proportional to 7,534.80, 10,400.64 and 5,440.08

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Solution

The fourth proportional to 7,534.80, 10,400.64 and 5,440.08 is: 7,509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534.80 : 10,400.64 = 5,440.08 : x
  2. Step 2: Convert to fraction form
    7,534.80/10,400.64 = 5,440.08/x
  3. Step 3: Cross multiply
    7,534.80x = 10,400.64 × 5,440.08
  4. Step 4: Simplify right side
    7,534.80x = 56,580,313.65
  5. Step 5: Solve for x
    x = 56,580,313.65/7,534.80
  6. Step 6: Final answer
    x = 7,509.20

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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.