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Finding the Fourth Proportional to 7,040.75, 10,510.67 and 6,548.67

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Solution

The fourth proportional to 7,040.75, 10,510.67 and 6,548.67 is: 9,776.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,040.75 : 10,510.67 = 6,548.67 : x
  2. Step 2: Convert to fraction form
    7,040.75/10,510.67 = 6,548.67/x
  3. Step 3: Cross multiply
    7,040.75x = 10,510.67 × 6,548.67
  4. Step 4: Simplify right side
    7,040.75x = 68,830,925.68
  5. Step 5: Solve for x
    x = 68,830,925.68/7,040.75
  6. Step 6: Final answer
    x = 9,776.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.