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Finding the Fourth Proportional to 10,300.87, 14,206.74 and 6,319.18

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Solution

The fourth proportional to 10,300.87, 14,206.74 and 6,319.18 is: 8,715.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,300.87 : 14,206.74 = 6,319.18 : x
  2. Step 2: Convert to fraction form
    10,300.87/14,206.74 = 6,319.18/x
  3. Step 3: Cross multiply
    10,300.87x = 14,206.74 × 6,319.18
  4. Step 4: Simplify right side
    10,300.87x = 89,774,947.27
  5. Step 5: Solve for x
    x = 89,774,947.27/10,300.87
  6. Step 6: Final answer
    x = 8,715.28

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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.