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Finding the Fourth Proportional to 7,706.22, 10,633.23 and 4,681.50

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Solution

The fourth proportional to 7,706.22, 10,633.23 and 4,681.50 is: 6,459.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.22 : 10,633.23 = 4,681.50 : x
  2. Step 2: Convert to fraction form
    7,706.22/10,633.23 = 4,681.50/x
  3. Step 3: Cross multiply
    7,706.22x = 10,633.23 × 4,681.50
  4. Step 4: Simplify right side
    7,706.22x = 49,779,466.25
  5. Step 5: Solve for x
    x = 49,779,466.25/7,706.22
  6. Step 6: Final answer
    x = 6,459.65

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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.