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Finding the Fourth Proportional to 10,032.74, 13,830.75 and 7,039.29

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Solution

The fourth proportional to 10,032.74, 13,830.75 and 7,039.29 is: 9,704.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,032.74 : 13,830.75 = 7,039.29 : x
  2. Step 2: Convert to fraction form
    10,032.74/13,830.75 = 7,039.29/x
  3. Step 3: Cross multiply
    10,032.74x = 13,830.75 × 7,039.29
  4. Step 4: Simplify right side
    10,032.74x = 97,358,660.17
  5. Step 5: Solve for x
    x = 97,358,660.17/10,032.74
  6. Step 6: Final answer
    x = 9,704.09

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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.