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Finding the Fourth Proportional to 10,124.17, 13,970.82 and 6,347.50

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Solution

The fourth proportional to 10,124.17, 13,970.82 and 6,347.50 is: 8,759.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,124.17 : 13,970.82 = 6,347.50 : x
  2. Step 2: Convert to fraction form
    10,124.17/13,970.82 = 6,347.50/x
  3. Step 3: Cross multiply
    10,124.17x = 13,970.82 × 6,347.50
  4. Step 4: Simplify right side
    10,124.17x = 88,679,779.95
  5. Step 5: Solve for x
    x = 88,679,779.95/10,124.17
  6. Step 6: Final answer
    x = 8,759.21

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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.