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Finding the Fourth Proportional to 10,038.96, 13,854.48 and 6,059.85

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Solution

The fourth proportional to 10,038.96, 13,854.48 and 6,059.85 is: 8,363.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.96 : 13,854.48 = 6,059.85 : x
  2. Step 2: Convert to fraction form
    10,038.96/13,854.48 = 6,059.85/x
  3. Step 3: Cross multiply
    10,038.96x = 13,854.48 × 6,059.85
  4. Step 4: Simplify right side
    10,038.96x = 83,956,070.63
  5. Step 5: Solve for x
    x = 83,956,070.63/10,038.96
  6. Step 6: Final answer
    x = 8,363.02

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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.