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Finding the Fourth Proportional to 11,302.65, 15,597.04 and 6,266.58

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Solution

The fourth proportional to 11,302.65, 15,597.04 and 6,266.58 is: 8,647.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,302.65 : 15,597.04 = 6,266.58 : x
  2. Step 2: Convert to fraction form
    11,302.65/15,597.04 = 6,266.58/x
  3. Step 3: Cross multiply
    11,302.65x = 15,597.04 × 6,266.58
  4. Step 4: Simplify right side
    11,302.65x = 97,740,083.26
  5. Step 5: Solve for x
    x = 97,740,083.26/11,302.65
  6. Step 6: Final answer
    x = 8,647.53

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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.