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Finding the Fourth Proportional to 10,038.94, 13,854.04 and 5,562.27

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Solution

The fourth proportional to 10,038.94, 13,854.04 and 5,562.27 is: 7,676.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.94 : 13,854.04 = 5,562.27 : x
  2. Step 2: Convert to fraction form
    10,038.94/13,854.04 = 5,562.27/x
  3. Step 3: Cross multiply
    10,038.94x = 13,854.04 × 5,562.27
  4. Step 4: Simplify right side
    10,038.94x = 77,059,897.17
  5. Step 5: Solve for x
    x = 77,059,897.17/10,038.94
  6. Step 6: Final answer
    x = 7,676.10

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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.