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Finding the Fourth Proportional to 11,302.50, 15,597.64 and 6,266.93

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Solution

The fourth proportional to 11,302.50, 15,597.64 and 6,266.93 is: 8,648.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,302.50 : 15,597.64 = 6,266.93 : x
  2. Step 2: Convert to fraction form
    11,302.50/15,597.64 = 6,266.93/x
  3. Step 3: Cross multiply
    11,302.50x = 15,597.64 × 6,266.93
  4. Step 4: Simplify right side
    11,302.50x = 97,749,339.94
  5. Step 5: Solve for x
    x = 97,749,339.94/11,302.50
  6. Step 6: Final answer
    x = 8,648.47

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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.