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Finding the Fourth Proportional to 10,038.93, 13,860.23 and 6,455.50

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Solution

The fourth proportional to 10,038.93, 13,860.23 and 6,455.50 is: 8,912.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.93 : 13,860.23 = 6,455.50 : x
  2. Step 2: Convert to fraction form
    10,038.93/13,860.23 = 6,455.50/x
  3. Step 3: Cross multiply
    10,038.93x = 13,860.23 × 6,455.50
  4. Step 4: Simplify right side
    10,038.93x = 89,474,714.77
  5. Step 5: Solve for x
    x = 89,474,714.77/10,038.93
  6. Step 6: Final answer
    x = 8,912.77

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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.