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Finding the Fourth Proportional to 10,038.92, 13,852.28 and 5,562.93

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Solution

The fourth proportional to 10,038.92, 13,852.28 and 5,562.93 is: 7,676.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.92 : 13,852.28 = 5,562.93 : x
  2. Step 2: Convert to fraction form
    10,038.92/13,852.28 = 5,562.93/x
  3. Step 3: Cross multiply
    10,038.92x = 13,852.28 × 5,562.93
  4. Step 4: Simplify right side
    10,038.92x = 77,059,236.17
  5. Step 5: Solve for x
    x = 77,059,236.17/10,038.92
  6. Step 6: Final answer
    x = 7,676.05

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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.