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Finding the Fourth Proportional to 7,681.40, 11,525.70 and 3,302.60

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Solution

The fourth proportional to 7,681.40, 11,525.70 and 3,302.60 is: 4,955.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,681.40 : 11,525.70 = 3,302.60 : x
  2. Step 2: Convert to fraction form
    7,681.40/11,525.70 = 3,302.60/x
  3. Step 3: Cross multiply
    7,681.40x = 11,525.70 × 3,302.60
  4. Step 4: Simplify right side
    7,681.40x = 38,064,776.82
  5. Step 5: Solve for x
    x = 38,064,776.82/7,681.40
  6. Step 6: Final answer
    x = 4,955.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.