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Finding the Fourth Proportional to 10,386.78, 14,333.72 and 5,671.07

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Solution

The fourth proportional to 10,386.78, 14,333.72 and 5,671.07 is: 7,826.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,386.78 : 14,333.72 = 5,671.07 : x
  2. Step 2: Convert to fraction form
    10,386.78/14,333.72 = 5,671.07/x
  3. Step 3: Cross multiply
    10,386.78x = 14,333.72 × 5,671.07
  4. Step 4: Simplify right side
    10,386.78x = 81,287,429.46
  5. Step 5: Solve for x
    x = 81,287,429.46/10,386.78
  6. Step 6: Final answer
    x = 7,826.05

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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.