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Finding the Fourth Proportional to 11,442.51, 15,792.71 and 8,307.81

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Solution

The fourth proportional to 11,442.51, 15,792.71 and 8,307.81 is: 11,466.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,442.51 : 15,792.71 = 8,307.81 : x
  2. Step 2: Convert to fraction form
    11,442.51/15,792.71 = 8,307.81/x
  3. Step 3: Cross multiply
    11,442.51x = 15,792.71 × 8,307.81
  4. Step 4: Simplify right side
    11,442.51x = 131,202,792.53
  5. Step 5: Solve for x
    x = 131,202,792.53/11,442.51
  6. Step 6: Final answer
    x = 11,466.26

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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.