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Finding the Fourth Proportional to 7,646.13, 11,461.50 and 4,352.40

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Solution

The fourth proportional to 7,646.13, 11,461.50 and 4,352.40 is: 6,524.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.13 : 11,461.50 = 4,352.40 : x
  2. Step 2: Convert to fraction form
    7,646.13/11,461.50 = 4,352.40/x
  3. Step 3: Cross multiply
    7,646.13x = 11,461.50 × 4,352.40
  4. Step 4: Simplify right side
    7,646.13x = 49,885,032.60
  5. Step 5: Solve for x
    x = 49,885,032.60/7,646.13
  6. Step 6: Final answer
    x = 6,524.22

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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.