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Finding the Fourth Proportional to 11,283.25, 15,567.29 and 7,307.41

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Solution

The fourth proportional to 11,283.25, 15,567.29 and 7,307.41 is: 10,081.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,283.25 : 15,567.29 = 7,307.41 : x
  2. Step 2: Convert to fraction form
    11,283.25/15,567.29 = 7,307.41/x
  3. Step 3: Cross multiply
    11,283.25x = 15,567.29 × 7,307.41
  4. Step 4: Simplify right side
    11,283.25x = 113,756,534.08
  5. Step 5: Solve for x
    x = 113,756,534.08/11,283.25
  6. Step 6: Final answer
    x = 10,081.89

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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.