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Finding the Fourth Proportional to 10,038.87, 13,854.15 and 5,788.35

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Solution

The fourth proportional to 10,038.87, 13,854.15 and 5,788.35 is: 7,988.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.87 : 13,854.15 = 5,788.35 : x
  2. Step 2: Convert to fraction form
    10,038.87/13,854.15 = 5,788.35/x
  3. Step 3: Cross multiply
    10,038.87x = 13,854.15 × 5,788.35
  4. Step 4: Simplify right side
    10,038.87x = 80,192,669.15
  5. Step 5: Solve for x
    x = 80,192,669.15/10,038.87
  6. Step 6: Final answer
    x = 7,988.22

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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.